The total surface area of a hemisphere of radius $r$ is

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>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

The ratio of the total surface area of a sphere and a hemisphere of same radius is

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

A sphere and a cube are of the same height. The ratio of their volumes is

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 5

The largest sphere is cut off from a cube of side $6 \mathrm{cm}$. The volume of the sphere will be

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 6

A cylindrical rod whose height is $8$ times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 7

If the ratio of volumes of two spheres is $1:8$ then the ratio of their surface areas is

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 8

If the surface area of a sphere is $144\pi {\mathrm{m}}^2$, then its volume (in ${\mathrm{m}}^3$) is

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 9

If a solid sphere of radius $10 \mathrm{cm}$ is moulded into $8$ spherical solid balls of equal radius, then the surface area of each ball is $k\mathrm{\pi } {\mathrm{cm}}^2$, then find the value of $k$.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 21 - Surface Area and Volume of a Sphere>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10

If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is