Question

the circumference of the base of a cylinder is 88 cm and its height is 60 cm find the volume and curved surface area of the cylinder

Answer 1

Given Circumference of the base = 88cm

Given height = 60cm

As we know that

Circumference = 2πr

Therefore,

2πr = 88

$2 \times \frac{22}{7} \times r = 88 \\ \\ \frac{44}{7} r = 88 \\ \\ r = 88 \times \frac{7}{44} \\ \\ r = 2 \times 7 \\ \\ r = 14cm$

Now radius (r) = 14

Therefore

Curved Surface Area = 2πrh

Now, 2πr = 88 (Circumference)

=> 88 × h

=> 88 × 60

=> 5280 cm^2


$volume \: of \: cylinder \: = \pi r {}^{2} h \\ \\ \frac{22}{7} \times {14}^{2} \times 60 \\ \\ \frac{22}{7} \times 196 \times 60 \\ \\ 22 \times 28 \times 60 \\ \\ 36960 \: cm {}^{3}$