Question

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​

Answer 1

Answer:

• CSA of the cylinder = 440 sq. cm

• Volume of the cylinder = 1540 cu. cm

Step-by-step explanation:

Given:

• Radius of the cylinder = 7 cm
• Height of the cylinder = 10 cm

To Find:

• Curved surface area
• Volume

Solution:

Using formula:

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star$

Substituting the required values:

$\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2}$

Now,

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star$

Substituting the required values,

$\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3}$

Hence,

• CSA of the cylinder = 440 sq. cm

• Volume of the cylinder = 1540 cu. cm

Answer 2

Step-by-step explanation:

CSA of cylinder 440 cm sq.

Volume 1540 cm cube.