Question

th3 volume of a cylinder is 567 cm3 and its height is 7cm

Answer 1

Correct Question:

The volume of right circular cylinder of height 7 cm is 567 cm³. Find its curved surface area.

Given:

1. Volume of cylinder = 567 cm³
2. Height of cylinder = 7 cm

To Find:

• It's curved surface area.

Formula Used:

• Curved surface area of the cylinder = πr²h

Solution:

$\implies {\pi r}^{2}h = 567 \pi$

$\implies {\pi r}^{2} \times 7 = 567 \pi$

$\implies {r}^{2} = \frac{567 \pi}{\pi \times7}$

$\implies {r}^{2} = 81$

$\implies {r}^{2} = {9}^{2}$

$\implies r = 9 \: cm$

curved surface area of the cylinder$= 2 \pi rh$

$\implies 2 \times \frac{22}{7} \times 9 \times 7$

$\implies 44 \times 9$

$\huge \boxed {\implies {396 \: cm}^{2}}$