Question

Find the surface area and volume of a cylinder with radius 12 cm and height 15cm

Answer 1

Given:

A cylinder with

• Radius = 12 cm
• Height = 15 cm

What To Find:

We have to find the

• Surface area
• Volume

How To Find:

To find the surface area and volume we will use,

• Surface Area = $\sf{2\pi r(r +h )}$
• Volume = $\sf{\pi r^2h}$

Solution:

• Finding the surface area.

Using the formula,

⇒ Surface Area = $\sf{2\pi r(r +h )}$

Substitute the values,

⇒ Surface Area = $\sf{2 \times \dfrac{22}{7} \times 12 (12 + 15)}$

Solve the brackets,

⇒ Surface Area = $\sf{2 \times \dfrac{22}{7} \times 12 \times 27}$

Multiply the number,

⇒ Surface Area = $\sf{\dfrac{14256}{7}$

Divide 14256 by 7,

⇒ Surface Area = $\sf{\dfrac{14256}{7} \: cm^2$

• Finding the volume.

Using the formula,

⇒ Volume = $\sf{\pi r^2h}$

Substitute the values,

⇒ Volume = $\sf{\dfrac{22}{7} \times 12 \times 12 \times 15}$

Multiply the numbers,

⇒ Volume = $\sf{\dfrac{47,520}{7}} \: cm^3$