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9th CBSE
IMPORTANT
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If the radius of a sphere is doubled, then the ratio of the volume of the first sphere to that of the second sphere will be 1:k. 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 10
A vessel in the form of a hemispherical bowl is full of water. Its contents are emptied in a right circular cylinder. The internal radii of the bowl and the cylinder are 3.5 cm and 7 cm respectively. If the height to which the water will rise in the cylinder is 0.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 11
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.
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 12
A vessel in the form of a hemispherical bowl is full of water. The contents are emptied into a cylinder. The internal radii of the bowl and cylinder are 6 cm and 4 cm respectively. Find the height of water in the cylinder.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 13
The diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m, then its diameter is 0.k cm. Find the value of k.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 14
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. If the length of the wire is k m. Find the value of k.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 15
The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respectively. If it is melted and recast into a solid cylinder of height  223 cm. If the diameter of the cylinder is k cm, then find the value of k.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 16
A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base.
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>EXERCISE>Q 17
A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.