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Standard X

Mathematics

Volume of a Cylinder

The height an...

Question

The height and volume of a fire bucket in the shape of right circular cone are 45 cm and 4612.5 cu cm respectively. The base area of the bucket is

512.20 sq cm

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307.50 sq cm

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102.50 sq cm

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Solution

The correct option is B 307.50 sq cm
Height of the bucket is 45 cm

Volume of the fire bucket = 4612.5 cu cm

Volume of cone = $\frac{1}{3}$ $\times$ base area $\times$ height

4612.5 = $\frac{1}{3}$ base area $\times$ 45

Base area = $\frac{3 \times 4612.5}{45}$ = 307.50

Hence, the base area = 307.50 sq cm

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The height and volume of a fire bucket in the shape of right circular cone are 45 cm and 4612.5 cu cm respectively. The base area of the bucket is

The correct option is B 307.50 sq cmHeight of the bucket is 45 cm Volume of the fire bucket = 4612.5 cu cm Volume of cone = 13 × base area × height 4612.5 = 13 base area × 45 Base area = 3×4612.545 = 307.50 Hence, the base area = 307.50 sq cm