Question

The diameter of the base of cylinder is 2m & height is 1.8m is melted to recast a cone of diameter 3m , find the height of the cone

Answer 1

Answer:

Here's your required answer

Answer 2

Dear Student,

◆ Answer -

H = 2.4 m

● Explanation -

As the cylinder is melted to recast into cone, volume of cone will be equal to volume of cylinder.

Volume of cone = Volume of cylinder

1/3 πR^2.H = πr^2.h

1/3 R^2.H = r^2.h

H = 3r^2.h/R^2

H = 3 × (2/2)^2 × 1.8 / (3/2)^2

H = 3 × 1^2 × 1.8 / 1.5^2

H = 5.4 / 2.25

H = 2.4 m

Hence, the height of the cone will be 2.4 m.

Thanks dear. Hope this helps you...