Q. 85.0( 3 Votes )
The ratio between the radius of the base and the height of a cylinder is 2:3. If the volume of the cylinder is 12936 cm3. Find the radius of the base of the cylinder.
Answer :
Given,
Ratio of the base and the height of a cylinder is 2:3
So,
Let the radius of the base = r
And
The height of the cylinder = h
r : h = 2 : 3
That is,
r/h = 2/3
So,
h = 3r/2 – – – – – – – – – (i)
As,
Volume of the cylinder = 12936 cm3
⇒ πr2h=12936
⇒ 22/7 × r2 × 3r/2=12936 [Using (i)]
⇒ 33/7 × r3=12936
⇒ r3 = 12936 × 7/33
⇒ r3 = 2744
⇒ r = 3√2744
Therefore,
r = 14 cm
So,
The radius of the base of the cylinder is 14 cm.
Rate this question :
The largest cone is curved out from one face of solid cube of side 21 cm. Find the volume of the remaining solid.
RD Sharma - MathematicsThe largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left. 
An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. 
