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Calculate the volume of a frustum of a cone given below: (Use $π$ = 3.14)

R = 50mm, r = 5mm and h = 60 mm

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163,283

{mm}^{3}

163,282

{mm}^{3}

163,281

{mm}^{3}

163,280

{mm}^{3}

answer is D.

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Detailed Solution

Given, R = 50mm, r = 5mm and h = 60 mm.
Volume of the frustum cone is

V = \frac{π h}{3} (R^{2} + Rr + r^{2})

\Rightarrow V = \frac{(3.14 \times 60)}{(3)} [50^{2} + 15 \times 5 + 5^{2}]

\Rightarrow V = 3.14 \times 20 [2, 500 + 75 + 25]

\Rightarrow V = 62.8 [2, 600]

\Rightarrow V = 163, 280 m m^{3}

Therefore, volume of a frustum cone is

163, 280 m m^{3}

.
Hence, the correct option is 4.

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