Question

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

• A. 55440 cm3
• B. 3465 cm3
• C. 7720 cm3
• D. 13860 cm3

Answer 1

Answer:

D. 13860 cm3

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

where, r = radius of the base

$r=\frac{C}{2\pi}$

Given; C = 66cm, h = 40cm

$Volume =\pi{r^2}h$

$=\pi(\frac{C}{2\pi})^2h$

$=\frac{C^2h}{4\pi}$

$=\frac{66\times{66}\times{40}}{4\times{\frac{22}{7}}}$

$= 7 × 3 × 66 × 10 cm^3$

$= 13860 cm^3$