A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is:
A. 125
B. 135
C. 115
D. 105
Answer: Option B
Solution (By Examveda Team)
$$\eqalign{ & \pi {r^2}h = \frac{4}{3}\pi {R^3} \times n \cr & {6^2} \times 5 = \frac{4}{3} \times {1^3} \times n \cr & n = 135 \cr} $$Related Questions on Mensuration 3D
A. 1.057 cm3
B. 4.224 cm3
C. 1.056 cm3
D. 42.24 cm3
A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$

Join The Discussion