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The volume of a right circular cylinder whose height is 40cm, and circumference of its base is 66 cm, is :

A55440 cm3

B3465 cm3

C7720 cm3

D13860 cm3

Answer:

D. 13860 cm3

Read Explanation:

Circumference of the base, C=2πrC = 2\pi{r}

where, r = radius of the base

r=C2πr=\frac{C}{2\pi}

Given; C = 66cm, h = 40cm

Volume=πr2hVolume =\pi{r^2}h

=π(C2π)2h=\pi(\frac{C}{2\pi})^2h

=C2h4π=\frac{C^2h}{4\pi}

=66×66×404×227=\frac{66\times{66}\times{40}}{4\times{\frac{22}{7}}}

=7×3×66×10cm3= 7 × 3 × 66 × 10 cm^3

=13860cm3= 13860 cm^3


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