Question

A cylinder has volume of 176cm³ and height equal to 14cm, what is the diameter of the cylinder? (Take $\pi$ = $\frac{22}{7}$)

• A. 4 cm
• B. 2 cm
• C. 12 cm
• D. 6 cm

Answer 1

The correct option is A 4 cm

Volume of a cylinder having radius r and height h is equal to $\pi r^{2}h$.
Given: $\pi r^{2}h=176$

$\frac{22}{7}\times 14\times r^2=176$

$r^2=\frac{176\times 7}{14\times 22}=\frac{8\times 7}{14}=\frac{8}{2}=4$

Therefore, r = 2 cm
We know that diameter = 2 $\times$ radius
= 2 $\times$ 2
= 4cm.
Therefore. option a is correct.