Question

find the radius of the base of a right circular cylinder whose height is 14cm and curved surface area is 176sq . cm.​

Answer 1

We know that

CSA Of cylinder = 2πrh

Now a/q,

πr^2h=176

22/7×r^2×14=176

r^2=(176×7)/(22×14)

r^2=4

r=√4=2

Radius = 2cm

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Radius\:of\:base=2\:cm}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{C.S.A\:of\:cylinder= 176 \: cm}^{2} \\ \\ : \implies \text{Height(h) = 14 \: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Radius\: of \: base= ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies 176=2 \times \frac{ 22}{7} \times r\times 14 \\ \\ : \implies 1232 =616 \times r \\ \\ \green{ : \implies\text{ r=2\:cm}}\\ \\ \bold{Formula\:related\:to\:the\:topic} \\ \circ\: \text{T.S.A\: of \: cylinder} =2\pi r(h + r)\\\\ \circ\: \text{Volume\: of \: cylinder} =\pi r^{2}h$