Calculate the volume of a frustum cone :
Given D = 2 cm, d = 1 cm, h = 15 cm.

27.475

{c m}^{3}

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25.674

{c m}^{3}

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20,976

{c m}^{3}

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14.975

{c m}^{3}

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Solution

The correct option is A 27.475 ${c m}^{3}$
Volume = $\frac{π h}{3} (R^{2} + R r + r^{2})$
Diameter = radius $\times 2$
Radius, R = 1 cm, r = 0.5 cm
= $\frac{3.14 \times 15}{3} (1^{2} + 1 \times 0.5 + {0.5}^{2})$
= $3.14 \times 5 (1 + 0.5 + 0.25)$
= $3.14 \times 8.75$
= $27.475 c m^{3}$

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Calculate the volume of a frustum cone :Given D = 2 cm, d = 1 cm, h = 15 cm.

The correct option is A 27.475 cm3Volume = πh3(R2+Rr+r2)Diameter = radius ×2Radius, R = 1 cm, r = 0.5 cm= 3.14×153(12+1×0.5+0.52)= 3.14×5(1+0.5+0.25)= 3.14×8.75= 27.475cm3

Calculate the volume of a frustum cone :
Given D = 2 cm, d = 1 cm, h = 15 cm.

The correct option is A 27.475 ${c m}^{3}$
Volume = $\frac{π h}{3} (R^{2} + R r + r^{2})$
Diameter = radius $\times 2$
Radius, R = 1 cm, r = 0.5 cm
= $\frac{3.14 \times 15}{3} (1^{2} + 1 \times 0.5 + {0.5}^{2})$
= $3.14 \times 5 (1 + 0.5 + 0.25)$
= $3.14 \times 8.75$
= $27.475 c m^{3}$