Question

The curved surface area of a right circular cylinder is 176 sq cm and it height is 2 cm. Find the radius of the base?​

Answer 1

✬ Radius = 14 cm ✬

Step-by-step explanation:

Given:

• Curved surface area of right circular cylinder is 176 cm².
• Measure of height of cylinder is 2 cm

To Find:

• What is the measure of radius of base ?

Solution: Let r be the radius of cylinder.

As we know that

★ CSA of Cylinder = 2πrh ★

A/q

• CSA = 176 cm²

$\implies{\rm }$ 176 = 2πrh

$\implies{\rm }$ 176 = 2(22/7)(r)(2)

$\implies{\rm }$ 176 = 44/7(2r)

$\implies{\rm }$ 176 = 88r/7

$\implies{\rm }$ 176 $\times$ 7 = 88r

$\implies{\rm }$ 1232 = 88r

$\implies{\rm }$ 1232/88 = r

$\implies{\rm }$ 14 = r

Hence, measure or radius of base of cylinder is 14 cm.

Answer 2

Answer:

$\huge\bold\red{Answer:-}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

${\green{\bold{\underline{\underline{Given:-}}}}}$

• Curved surface area of a right circular cylinder is 176 sq cm
• $\bold{height \ of \ the \ cylinder \ is \ 2cm}$

${\pink{\bold{\underline{\underline{To\:find:-}}}}}$

• $\bold{The \ radius \ of \ the \ base}$

${\blue{\bold{\underline{\underline{Solution:-}}}}}$

$\boxed{CSA\:of\:cylinder=2πrh}$

$\bold{where}$π=$\mathsf{ \dfrac{22}{7}}$

$\bold{\: \: \: \: \: \: \: \: \: \: \: \: r=radius}$

$\bold{\: \: \: \: \: \: \: \: \: \: \: \: h=height}$

$\bold{Putting \ the \ given \ value \ we \ get}$

$\bold{\: \: \: \: \: \: \: \: \: \: \: \: CSA=2πrh}$

$\implies$$\bold{176=2×22/7×r×2}$

$\implies$$\bold{176=88r/7}$

$\implies$$\bold{r=176×7/88}$

$\implies$$\bold{r=2×7}$

$\implies$$\bold{r=14cm}$

•°•$\bold{radius \ of \ the \ base \ is \ 14 \ cm}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃