Volume of a Sphere
Volume of a Sphere: Overview
This topic discusses the experiment leading to the formula to find the volume of a sphere and a hemisphere. This is followed by exercises and word problems to apply these formulae.
Important Questions on Volume of a Sphere
If the surface area of a sphere is then its volume is
The volume of sphere is . Its curved surface area is [Use ]
Which of the following is the formula for the volume of a sphere of radius ‘r’?
Rohan dropped 10 identical steel balls into a cylindrical container of radius 6 cm and the level of water in the container rose from 14 cm to 24 cm.
What is the volume of one steel ball?
Rohan dropped 10 steel balls into a cylindrical container of radius ‘r’ cm and the level of water in the container rose from $ {h}_{1}$ cm to $ {h}_{2}$ cm.
Which of these formulae gives the volume of 10 steel balls?
The volume of a spherical balloon is increased by 33.1%.
Which of these is the percentage increase in its radius?
The inner radius of a hollow sphere increased by 20%. The amount of water that it can hold will increase by _____ %.
A cylindrical candle of diameter and height is melted and reshaped into a spherical shape as shown below.
The minimum area of wrapper paper required to wrap the entire surface of the spherical candle is _____ sq. cm.
(use , an exact answer is expected.)
A solid metal sphere of radius 12 cm was melted and recast to make 64 smaller spheres. The radius of each sphere is _____ cm.
The volume of the largest sphere that can be carved out of a cylinder of height 50 cm and diameter 12 cm is _____.
(Note: Use π = 3.14, an exact answer is expected.)
The circumference of a sphere whose surface area is equal to its volume is _____ units.
(Use π = 3.14 an exact value is expected.)
A gold biscuit of mass is melted to make identical hollow spherical beads of thickness and outer radius .
The number of such beads that can be made from of gold is _____.
(Note: Consider and density of gold , mass volume density.)The circumference of the spherical shaped coconut below is The thickness of the shell including the edible part is
Estimate the amount of coconut water inside it, if it constitutes of its inner volume.
The amount of coconut water in the coconut is _____
(Note: Use and round your answer to the nearest )The outer circumference of a hollow sphere is 62.8 cm. The thickness of the hollow sphere is 10% of its outer radius.
The capacity of the hollow sphere is _____cc.
(Note: Use π = 3.14 and round your answer to the nearest ten.)
Shown below is the picture of a ball shaped ice cream container. Its circumference is
The maximum quantity of ice cream inside the container is _____ (Use and round off the answer to the nearest whole number.)
A beaker is completely filled with water and a sphere of radius is fully immersed in it.
The amount of water that spilled out of the beaker is _____.
(Note: Round your answer to the nearest whole number.)
The volume of the largest sphere that can be carved out of a cuboidal piece of wood of dimensions 12 cm × 14 cm × 15 cm is _____ cc.
(Note: Use π = 3.14)
Kiran plans to celebrate his birthday by giving ice cream to his friends. Shown below is a 2L tetra packet and a scoop of ice cream.
The maximum number of scoops he can make using a scooper of radius 3 cm is _____.
Shown below is an ice cream scooper of radius 3 cm and a scoop of ice cream.
The approximate quantity of ice cream = _____ml.
(Note : Use π = 3.14 and round your answer to the nearest 10. )Shown below is a hemispherical bowl with an inner radius of 15 cm.
The capacity of the bowl is _____ litres.
(Use π = 3.14 and round your answer to the nearest litre.)
