Advertisements
Advertisements
Question
A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.
Solution
Given that,
Height of cylinder=`2/3`(diameter)
We know that,
Diameter= 2(radius)
`h= 2/3×2r=4/3r`
Volume of the cylinder = volume of the sphere
⇒`cancel(h)r^2×cancel(4)/cancel(3)r=cancel(4)/cancel(3)cancel(h)(4)^3`
⇒`r^3=4^3`
⇒ r=4cm
APPEARS IN
RELATED QUESTIONS
Find the volume of a sphere whose radius is 3.5 cm.
Find the volume of a sphere whose diameter is 2.1 m .
A shopkeeper has one laddoo of radius 5 cm. With the same material, how many laddoos of radius 2.5 cm can be made?
A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?
Volume of a hemisphere is 18000 π cubic cm. Find its diameter.
Find the radius of a sphere if its volume is 904.32 cubic cm. (π = 3.14)
A hemispherical tank of radius 1.75 m is full of water. It is connected with a pipe which empties the tank at the rate of 7 litres per second. How much time will it take to empty the tank completely?
The radius of a sphere is 2r, then its volume will be ______.
If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the volume of the sphere will be 6 : π.
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.
