Question

The curved surface area of a cylinder is 224π cm2. If the radius of the cylinder is 8 cm, find its volume.

Answer 1

Answer:

$Volume = 896π \: {cm}^{3}$

Step-by-step explanation:

Given

• The curved surface area of a cylinder is 224π ${cm}^{2}$
• The radius is 8 cm.

We are supposed to find the Volume.

• In order to find the volume we need to find the height of the cylinder.

Let's proceed!!

C.S.A = 224 π ${cm}^{2}$ (given)

We know that the C.S.A of a cylinder = 2πrh

$\therefore$ 2πrh = 224π

2 × 8 × h = 224

h = $\huge\frac{224}{2 \times 8}$

h = 14 cm

Now,

Volume = π ${r}^{2}$ h

$\implies$ V = π × 8 × 8 × 14

$\implies$ V = 896π ${cm}^{3}$

Answer 2

Step-by-step explanation:

Volume=896πcm

3

Step-by-step explanation:

Given

The curved surface area of a cylinder is 224π {cm}^{2}cm

2

The radius is 8 cm.

We are supposed to find the Volume.

In order to find the volume we need to find the height of the cylinder.

hii armyy!