wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 1
A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.


Open in App
Solution

Let height of the cone be h1
Given, radius of the base of the cone = 6 cm
Volume of circular cone
=13πr2h=13π(6)2h=36πh3=12πh cm3

Also. Given radius of the hemisphere = 8 cm
Volume of the hemisphere=23πr3=23π(8)3=512×2π3

Volume of the hemisphere=Volume of the cone

512×2π3=12πhh=512×2π12×3π=2569=28.44 cm

Height of the cone, h=28.44 cm


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon