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Question

The height of the frustum cone is 270 ft. The area of the top and bottom circle of the cone is 8 ft2 and 32 ft2 respectively. Find its volume.

A
14,440 ft3
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B
13,440 ft3
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C
12,440 ft3
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D
10,440 ft3
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Solution

The correct option is D 10,440 ft3
Volume of the frustum cone is V = h3[πR2+πr2+(πR2)(πr2)]

Area of the top cone = 8 ft2

Area of the bottom cone = 32 ft2

Height = 270 ft

Volume = 2703[8+32+8×32]

=90[40+256]

=90[100+16]

=90×116

=10,440ft3


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