A cylinder of radius R is filled with water to its brim. A sphere of the same radius is drowned fully into water. If the volume of water left in the cylinder is equal to half of the volume of the sphere, what is the height of the cylinder?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 2R

Suggest Corrections

Similar questions

Q. The radius and height of a cylinder are equal. If the radius of the sphere is equal to the height of the cylinder, then the ratio of the rates of increase of the volume of the sphere and the volume of the cylinder is

A solid right circular cone of height 120 cm and radius 60 cm is placed in right circular cylinder full of water of height 180 cm such it touches the bottom.Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.

Q. A cylinder whose height is equal to

2 \frac{1}{4}

times its diameter has the same volume as a sphere of radius 4 cm The radius of the base of the cylinder is

Q. What is the ratio of volume of a sphere to volume of cylinder with an equivalent radius and height equal to the diameter?

Q. Question 17
A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.

Join BYJU'S Learning Program