Question

The area of the base of a right circular cylinder is 1386cm and its height is 14 cm.find its volume

Answer 1

attachment have the solution

Answer 2

✬ Volume = 19404 cm³ ✬

Step-by-step explanation:

Given:

• Area of base of right circular cylinder is 1386 cm².
• Measure of height of cylinder is 14 cm.

To Find:

• What is the volume of cylinder ?

Solution: As we know that base of the right circular cylinder is in the shape of circle. Therefore:-

★ Area of base = πr² ★

A/q

• Area of base = 1386 cm²

$\implies{\rm }$ πr² = 1386

$\implies{\rm }$ 22/7 $\times$ r² = 1386

$\implies{\rm }$ r² = 1386 $\times$ 7/22

$\implies{\rm }$ r² = 63 $\times$ 7

$\implies{\rm }$ r² = 441

$\implies{\rm }$ r = √441

$\implies{\rm }$ r = √21 $\times$ 21

$\implies{\rm }$ r = 21 cm

Now, Radius of cylinder is 21 cm & height of cylinder is 14 cm.

★ Volume of Cylinder = πr²h ★

$\implies{\rm }$ Volume = 22/7 $\times$ (21)² $\times$ 14 cm³

$\implies{\rm }$ (22/7 $\times$ 441 $\times$ 14) cm³

$\implies{\rm }$ (22 $\times$ 63 $\times$ 14) cm³

$\implies{\rm }$ 19404 cm³

Hence, the volume of right circular cylinder is 19404 cm³.