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Solved Examples
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B   Find the volume of the figure shown, if AB = 4 ft and CO = C′ O = 12 ft.
   B
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B   What is the base area of a rectangular pyramid, whose height is 9 cm and volume is 90 cm3?   B View Solution
B   What is the base width of a rectangular pyramid, if its length, height, and volume are 5 cm., 3 cm., and 45 cm3 respectively?   B View Solution
B   Find the height of the cone whose volume is 480π cm.3 and base radius is 12 cm.
   B
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B   What is the base radius of a cone, whose volume is 12π ft3 and height is 4 ft?
   B
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B   The circumference of the base of a cone of height 9 in. is 44 in. Find the volume of the cone. [Use π = 227]   B View Solution
B   If the radius of the base of a right circular cone is 9r mm. and its height is equal to the radius of the base, find its volume in mm.3.
   B
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B   What is the volume of a cone, if its radius is 9 cm and its curved surface area is 423.9 cm2? (Round the answer to the nearest whole number.)
   B
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B   The base of a pyramid is a right triangle and two sides containing the right angle are 8 ft and 4 ft. If height of the pyramid is 6 ft, then find the volume of the pyramid.
   B
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B   The height of a right circular cone is 9 cm. If its volume is 432π cm.3, what is the slant height of the cone?   B View Solution
B   The area of the base of a cone is 13 in.2 Its volume is 156 in.3 What is the height of the cone?
   B
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B   A pyramid is placed on a cube whose each edge measures 9 inches such that the total height of the cube and the pyramid is 18 inches. What is the total volume of the solid?   B View Solution
B   A tent is in the shape of a cylinder with a conical top. The radius of the base of the tent is 8 m. The height of the cylindrical part is 15 m. and that of the conical part is 24 m. Find the volume of air that occupies the tent. (Round the answer to one decimal place.)   B View Solution
B   The base of a pyramid is a right triangle and two sides containing the right angle are 6 ft and 4 ft. If height of the pyramid is 6 ft, then find the volume of the pyramid.
   B
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B   Find the volume of the figure shown, if AB = 6 ft and CO = C′ O = 15 ft.
   B
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B   Find the volume of the rectangular pyramid shown.   B View Solution
B   What is the base area of a rectangular pyramid, whose height is 18 cm and volume is 180 cm3?   B View Solution
B   What is the base width of a rectangular pyramid, if its length, height, and volume are 3 cm., 2 cm., and 12 cm3 respectively?   B View Solution
B   Find the volume of the rectangular pyramid, whose base length, diagonal of the base and height of the pyramid are 4 cm, 5 cm, and 6 cm respectively.   B View Solution
B   What is the base area and volume of the rectangular pyramid whose length, width, and height are 6 cm, 4 cm, and 5 cm respectively?   B View Solution
B   Find the height of the cone whose volume is 720π cm.3 and base radius is 12 cm.
   B
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B   What is the base radius of a cone, whose volume is 48π ft3 and height is 4 ft?
   B
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B   What is the volume of the figure shown?   B View Solution
B   Find the volume of the figure.   B View Solution
B   Find the volume of the cone in the figure.
   B
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B   What is the volume of the cone whose diameter is 6 ft and slant height is 5 ft?   B View Solution
B   If the radius of the base of a right circular cone is 3r mm. and its height is equal to the radius of the base, find its volume in mm.3.
   B
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B   What is the volume of a cone, if its radius is 3 cm and its curved surface area is 47.1 cm2? (Round the answer to the nearest whole number.)
   B
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B   The base of a pyramid is a right triangle and two sides containing the right angle are 4 ft and 7 ft. If height of the pyramid is 9 ft, then find the volume of the pyramid.
   B
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B   The height of a right circular cone is 6 cm. If its volume is 128π cm.3, what is the slant height of the cone?   B View Solution
B   State whether the statement is true or false. "The volume of a cone is equal to one third the volume of a cylinder with the same base radius and the same height."
   B
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B   The circumference of the base of a cone of height 21 in. is 88 in. Find the volume of the cone. [Use π = 227]   B View Solution
B   A tent is in the shape of a cylinder with a conical top. The radius of the base of the tent is 9 m. The height of the cylindrical part is 16 m. and that of the conical part is 25 m. Find the volume of air that occupies the tent. (Round the answer to one decimal place.)   B View Solution
B   The area of the base of a cone is 13 in.2 Its volume is 143 in.3 What is the height of the cone?
   B
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B   A pyramid is placed on a cube whose each edge measures 15 inches such that the total height of the cube and the pyramid is 18 inches. What is the total volume of the solid?   B View Solution
B   What is the volume of the cone whose diameter is 6 ft and slant height is 5 ft?   B View Solution
B   Find the volume of the pyramid.   B View Solution
B   Find the volume of the figure given.
   B
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B   Find the volume of a cone, if the diameter of the cone is 12.4 cm. and the height of the cone is 30 cm.
   B
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B   Find the volume of a cone and round the answer to the nearest whole unit.   B View Solution
B   Which of the following statements is/are false?
I. Volume of a cone is one-third of the product of the base area and height.
II. Volume of a cylinder is the product of base area and height.
III. Volume of a cylinder is the sum of its base area and its height.
IV. Volume of a cone is one-fourth the product of its base area and height.
   B
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B   Which of the following statements is true?   B View Solution
B   A cone and a cylinder have the same radius and same height. Which of the following is false for the volume of cone and cylinder?   B View Solution