1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A right circular cone of volume A, a right circular cylinder of volume M, and a sphere of volume C all have the same radius, and the common height of the cone and the cylinder is equal to the diameter of the sphere. Then

A
AM+C=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
A+M=C
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
2A=M+C
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
A2M2+C2=0
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B A−M+C=0A right circular cone , a right circular cylinder and a sphere have same radius (say r ) and heights of cone and cylinder are equal to diameter of sphere (=2r) So, Volume of cone = 13πr2h A=13πr2×2rA=23πr3 Similarly , volume of cylinder=M=2πr3and volume of sphere =C=43πr3Clearly , A+C−M=0 Hence option A.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Summary
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program