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Solved Examples
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B   What is the base area of the square pyramid whose lateral edge is 5 cm. and the height is 4 cm.?   B View Solution
B   The total surface area of a cone is 375 in.2 If its slant height is four times the radius, then what is the base diameter of the cone? [Use π = 3.]   B View Solution
B   A circular cone with a base radius of 1 ft has a surface area of 15.7 ft2. What is its slant height?
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B   Hanna distributed paper hats to children on the Christmas eve. The hats are in the shape of a cone with a base radius of 7 cm. and a slant height of 14 cm. Find the surface area of the paper used to make each hat. [Use π = 3.14.]
   B
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B   A circular cone is 12 in. high. The radius of the base is 16 in. What is the curved surface area of the cone?
   B
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B   The diameter of an ice cream cone is 8 cm. and the slant height is 11 cm. What is the surface area of the cone? [Use π = 3.14.]
   B
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B   The circumference of the base of a conical tent is 50.24 m. and its slant height is 12 m. Find the area of the canvas used in making the tent.[Use π = 3.14.]   B View Solution
B   What is the slant height of the cone, if its lateral area is 408 ft2 and its radius is 12 ft? (Round the answer to the nearest hundredth) [Use π = 3.14.]
   B
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B   The curved surface area of a cone is 3815.10 mm.2 and the radius of the base of the cone is 27 mm. What is its height? [Use π = 3.14.]   B View Solution
B   The curved surface area of a cone is 364.24 cm.2 and its slant height is 58 cm. Find the total surface area of the cone. (Round the answer to the nearest hundredth unit.) [Use π = 3.14.]
   B
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B   What length of canvas, 4 m. in width is required to make a conical tent 14 m. in diameter and 6.3 m. slant height? Also find the cost of the canvas at the rate of $13 per meter. (Round the answer to the nearest hundredth of a unit.) [Use π = 3.14.]
   B
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B   The base area of a cone is 113.04 in.2 and its height is 8 in. What is the surface area of the cone?   B View Solution
B   What length of paper, of width 30 in., will be required to make a hollow cone of radius 18 in. and slant height 45 in.?
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B   The curved surface area of a cone, whose slant height is 2 times the radius of its base, is 50π. Find the slant height of the cone.   B View Solution
B   What is the expression for the surface area of a cone, whose slant height is 2 times the radius of its base?   B View Solution
B   What is the base area of a cone with a radius of 10 in. and a height of 51 in.?   B View Solution
B   The radius and the height of a right circular cone are 3π cm. and 4π cm. respectively. What is the curved surface area of the right circular cone? (Round the answer to the nearest hundredth of a unit.)
   B
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B   The diameter of an ice cream cone is 4 cm. and the slant height is 6 cm. What is the surface area of the cone? [Use π = 3.14.]
   B
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B   The base area of a cone is 452.16 in.2 and its height is 16 in. What is the surface area of the cone?   B View Solution
B   Ashley distributed paper hats to children on the Christmas eve. The hats are in the shape of a cone with a base radius of 9 cm. and a slant height of 21 cm. Find the surface area of the paper used to make each hat. [Use π = 3.14.]
   B
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B   The curved surface area of a cone is 819.54 cm.2 and its slant height is 87 cm. Find the total surface area of the cone. (Round the answer to the nearest hundredth unit.) [Use π = 3.14.]
   B
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B   What is the surface area of a pyramid?   B View Solution
B   The total surface area of a cone is 240 in.2 If its slant height is four times the radius, then what is the base diameter of the cone? [Use π = 3.]   B View Solution
B   A circular cone with a base radius of 2 ft has a surface area of 62.8 ft2. What is its slant height?
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B   Find the surface area of the rectangular pyramid.
   B
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B   What is the resultant surface area of a cone, if a small part is cut off at the top by a plane parallel to the base of the cone?   B View Solution
B   What is the slant height of the pyramid, if h is the height of a pyramid standing on a square base of side a units?   B View Solution
B   What length of canvas, 4 m. in width is required to make a conical tent 12 m. in diameter and 5.3 m. slant height? Also find the cost of the canvas at the rate of $12 per meter. (Round the answer to the nearest hundredth of a unit.) [Use π = 3.14.]
   B
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B   You need to paint the outside of the house as shown in the figure. A gallon of paint covers about 400 square feet. How many gallons will you need to buy? (Ignore the areas of window and door.)
   B
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B   From the two figures shown, which has the larger surface area?
   B
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B   What length of paper, of width 30 in., will be required to make a hollow cone of radius 12 in. and slant height 45 in.?
   B
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B   The slant height of a cone is 35 in. and its base radius is 28 in. What is its height?
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B   The curved surface area of a cone, whose slant height is 3 times the radius of its base, is 48π. Find the slant height of the cone.   B View Solution
B   What is the total surface area of the figure?
   B
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B   Perpendicular distance from the edge of the base to the opposite vertex of a pyramid is called _________________.
   B
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B   What is the expression for the surface area of a cone, whose slant height is 3 times the radius of its base?   B View Solution
B   What is the base area of a cone with a radius of 9 in. and a height of 33 in.?   B View Solution
B   The radius and the height of a right circular cone are 9π cm. and 12π cm. respectively. What is the curved surface area of the right circular cone? (Round the answer to the nearest hundredth of a unit.)
   B
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B   Perpendicular distance from the base to the opposite vertex is called __________.
   B
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B   The base area of a cone is 254.34 in.2 and its height is 12 in. What is the surface area of the cone?   B View Solution
B   Paula distributed paper hats to children on the Christmas eve. The hats are in the shape of a cone with a base radius of 7 cm. and a slant height of 20 cm. Find the surface area of the paper used to make each hat. [Use π = 3.14.]
   B
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B   What is the surface area of the figure?
   B
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B   A circular cone is 6 in. high. The radius of the base is 8 in. What is the curved surface area of the cone?
   B
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B   The diameter of an ice cream cone is 6 cm. and the slant height is 11 cm. What is the surface area of the cone? [Use π = 3.14.]
   B
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B   The circumference of the base of a conical tent is 31.4 m. and its slant height is 9 m. Find the area of the canvas used in making the tent.[Use π = 3.14.]   B View Solution
B   What is the slant height of the cone, if its lateral area is 792 ft2 and its radius is 12 ft? (Round the answer to the nearest hundredth) [Use π = 3.14.]
   B
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B   The height of a cone is 16 in. and its diameter is 24 in. What is the slant height of the cone?
   B
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B   The curved surface area of a cone is 2307.90 mm.2 and the radius of the base of the cone is 21 mm. What is its height? [Use π = 3.14.]   B View Solution
B   The curved surface area of a cone is 414.48 cm.2 and its slant height is 66 cm. Find the total surface area of the cone. (Round the answer to the nearest hundredth unit.) [Use π = 3.14.]
   B
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B   A cone made of paper is 24 in. high and has a radius of 7 in. Find the area of the paper needed to construct the cone. [Use π = 3.14.]
   B
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B   The slant height of a strawberry cone is 5 in. and the diameter is 2.3 in. What is the total surface area of the strawberry cone? Let π = 3.   B View Solution
B   Find the surface area of a square pyramid. [b = 5 yd; h = 20 yd.]
   B
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B   Find the surface area of the cone to the nearest ten ft2.
(d = 20 ft, l = 39 ft)   B
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B   The surface area of a square pyramid is given by 540 cm.2 and the side of the square is 10 cm. Find the slant height of the square pyramid.   B View Solution