Correct Answer - Option 2 : 4.8 cm
Given:
The radius(r) of the solid cylinder = 8 cm
The height(h) of the solid cylinder = 10 cm
The radius(R) of the cone = 20 cm
Formula used:
Volume of the solid cylinder = πr2 h
Where, r = Radius of the solid cylinder, h = height of the solid cylinder
Volume of the cone = 1/3 × πR2H
Where, R and H are the radii and the height of the cone respectively.
Calculation:
According to the question:
Volume of the solid cylinder = Volume of the cone
⇒ πr2 h = 1/3 × πR2H
⇒ (8)2 × 10 = (20)2 × H
⇒ H = (64 × 10 × 3)/400
⇒ H = 4.8 cm
∴ The height of the cone is 4.8 cm.
