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Solved Examples
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f   What is the base area of the square pyramid whose lateral edge is 5 cm. and the height is 4 cm.?   f View Solution
f   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.]   f View Solution
f   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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f   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.]
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f   A circular cone is 12 in. high. The radius of the base is 16 in. What is the curved surface area of the cone?
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f   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.]
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f   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.]   f View Solution
f   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.]
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f   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.]   f View Solution
f   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.]
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f   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.]
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f   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?   f View Solution
f   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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f   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.   f View Solution
f   What is the expression for the surface area of a cone, whose slant height is 2 times the radius of its base?   f View Solution
f   What is the base area of a cone with a radius of 10 in. and a height of 51 in.?   f View Solution
f   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.)
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f   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.]
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f   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?   f View Solution
f   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.]
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f   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.]
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f   What is the surface area of a pyramid?   f View Solution
f   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.]   f View Solution
f   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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f   Find the surface area of the rectangular pyramid.
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f   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?   f View Solution
f   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?   f View Solution
f   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.]
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f   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.)
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f   From the two figures shown, which has the larger surface area?
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f   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.?
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f   The slant height of a cone is 35 in. and its base radius is 28 in. What is its height?
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f   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.   f View Solution
f   What is the total surface area of the figure?
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f   What is the expression for the surface area of a cone, whose slant height is 3 times the radius of its base?   f View Solution
f   What is the base area of a cone with a radius of 9 in. and a height of 33 in.?   f View Solution
f   Perpendicular distance from the edge of the base to the opposite vertex of a pyramid is called _________________.
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f   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.)
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f   Perpendicular distance from the base to the opposite vertex is called __________.
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f   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?   f View Solution
f   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.]
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f   A circular cone is 6 in. high. The radius of the base is 8 in. What is the curved surface area of the cone?
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f   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.]
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f   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.]  cc View Solution
cc  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.]
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cc  The height of a cone is 16 in. and its diameter is 24 in. What is the slant height of the cone?
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cc  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.]  cc View Solution
cc  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.]
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cc  What is the surface area of the figure?
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cc  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.]
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cc  Find the surface area of a square pyramid. [b = 5 yd; h = 20 yd.]
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cc  Find the surface area of the cone to the nearest ten ft2.
(d = 20 ft, l = 39 ft)  cc
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cc  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.  cc View Solution
cc  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.  cc View Solution