Question

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the Volume of the cylinder. Assume π = 22/7

Answer 1

Step-by-step explanation:

Given:-

• The curved surface area of a right circular cylinder is 88cm²

• The height of the cylinder = 14cm.

To Find:-

• The Volume of the cylinder.

Solution:-

Let the radius of the cylinder be " r "

Height of the cylinder (h) = 14

Curved surface area of a cylinder = 2πrh

$\sf \dashrightarrow 2\pi rh = 88$

$\sf \dashrightarrow 2 \times \dfrac{22}{7} \times r \times 14 = 88$

$\sf \dashrightarrow 2 \times 22\times r \times 2= 88$

$\sf \dashrightarrow 88r= 88$

$\sf \dashrightarrow r= \dfrac{88}{88}$

$\sf \dashrightarrow r= 1cm$

$\therefore \textsf{ \textbf{Radius \: of \: the \: cylinder \: (r) = 1cm}}$

$\sf Volume \: of \: cylinder = \pi {r}^{2} h$

$\sf \dashrightarrow V = \dfrac{22}{7} \times {(1)}^{2} \times 14$

$\sf \dashrightarrow V = 22 \times 2$

$\sf \dashrightarrow V = 44 {cm}^{3}$

$\underline{ \boxed{ \purple{ \therefore\textsf{ \textbf{Volume \: of \: the \: cylinder = 44}} \sf{cm}^{3} }}}$

Answer 2

Answer :-

• Volume of the cylinder is 44cm³.

Given :-

• The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

To Find :-

• Volume of the cylinder.

Solution :-

Here

• Curved surface area of the cylinder is 88cm².
• Height of the cylinder is 14cm.

As we know that

Curved surface area of a cylinder is 2πrh

2πrh = 88

⇒2 × 22/7 × r × 14 = 88

⇒2 × 22 × 2 × r = 88

⇒88r = 88

⇒r = 88/88

⇒r = 1

Radius = 1cm

As we know that

Volume of the cylinder is πr²h

⇒ πr²h

⇒ 22/7 × 1 × 1 × 14

⇒ 22 × 2

⇒ 44cm³

Hence, the volume of the cylinder is 44cm³.