A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the cone and of the remaining solid left out after the cone is carved out.
Asked by Topperlearning User | 18th Feb, 2014, 10:52: AM
The cone of maximum size that is carved out from a cube of edge 14 cm will be of base radius 7 cm and the height 14 cm.
Total Surface area of the cone = rl + r2
Surface area of the cube = 6 x (14)2 = 6 x 196 = 1176 cm2
So, surface area of the remaining solid left out after the cone is carved out
= Surface area of the cube - surface area of the circle + Curved surface area of the cone
Answered by | 18th Feb, 2014, 12:52: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number