The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is :
A. 5.2 cm
B. 5.5 cm
C. 11 cm
D. 22 cm
Answer: Option B
Solution(By Examveda Team)
Volume of the cylinder := Volume of the cube
= (11)3 cm3
= 1331 cm3
Let the radius of the base be r cm
Then,
$$\eqalign{ & \frac{{22}}{7} \times {r^2} \times 14 = 1331 \cr & \Rightarrow {r^2} = \frac{{1331}}{{44}} = \frac{{121}}{4} \cr & \Rightarrow r = \frac{{11}}{2} \cr & \Rightarrow r = 5.5 \cr} $$
Related Questions on Volume and Surface Area
A. 12$$\pi$$ cm3
B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
D. 20$$\pi$$ cm3
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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