Question

The circumference of the base of 12m high wooden solid cone is 44m .Find the volume​

Answer 1

Answer:

★ Volume of cone = 616cm³ ★

Step-by-step explanation:

Given:

• Circumference of the cone is 44 m
• Height of the cone is 12 m

To Find:

• Volume of the cone

Solution: Let the radius be r m

★ Circumference of cone = 2πr ★

A/q

$\small\implies{\sf }$ 2πr = 44

$\small\implies{\sf }$ 2 x 22/7 x r = 44

$\small\implies{\sf }$ 44/7 x r = 44

$\small\implies{\sf }$ r = 44 x 7/44

$\small\implies{\sf }$ Radius = 7 m

★ We know that Volume of cone = 1/3πr²h ★

$\small\implies{\sf }$ Volume= 1/3π(7)² x 12

$\small\implies{\sf }$ 1/3x 22/7 x 49 x 12

$\small\implies{\sf }$ 616cm³

Hence, The volume of cone will be 616cm³