MEDIUM
9th CBSE
IMPORTANT
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A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then the volume of the iron used to make the tank is 0.0k m3. Find the value of k.

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Important Questions on Surface Area and Volume of a Sphere

MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 23
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3 ) is needed to fill this capsule?
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 24
The diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 25
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 26
A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9 cm. If the radius of the ball is k cm, then find the value of k.
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 27
A cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75 cm. If the radius of the ball is k cm, then find the value of k. (Use π=227).
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 28
A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by two centimeters?
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 29
A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 30
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1:2:3.