Question

if the circumference of the base of a cylinder is 132 cm and its height 25 cm. find the volume of the cylinder.

Answer 1

circumference of base = 2πr
→132 = 2×22/7×r
→r = 132×7/2×22
→r = 21
so, volume of cylinder = πr²h
= 22/7×21×21×25
= 34650

Answer 2

Answer:

volume of the cylinder (V) = 34650 cm³

Explanation:

Let the base radius of a cylinder = r cm

height (h)= 25cm

i) Circumference of the base of a cylinder (C) = 132 cm [given]

=> 2πr = 132

$\implies 2\times \frac{22}{7}\times r = 132$

$\implies r = \frac{132\times 7}{2\times22}$

$\implies r = 3 \times 7$

$\implies r = 21 \: cm$

ii ) Volume of the cylinder (V)

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

= $\frac{22}{7}\times 21^{2}\times 25 cm^{3}$

= $34650 cm^{3}$

Therefore,

volume of the cylinder (V) = 34650 cm³

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