Introduction to Sphere and its Surface Area

Q. Sphere has only one curved face.

1. True
2. False

Q. What is the surface area of a sphere with radius 'r' ?

1. $2\pi r^2$
2. $\pi r^2$
3. $3\pi r^2$
4. $4\pi r^2$

Q.

Can two equipotential surfaces intersect?

Q. A set of points that are equidistant from a fixed point in three-dimensional space is known as .

Q. What will be the diameter of the sphere whose surface area is $616{\text{cm}}^2$?

1. $7\text{cm}$
2. $14\text{cm}$
3. $28\text{cm}$
4. $14\sqrt{2}\text{cm}$

Q. There are two spheres. If the radius of second sphere is four times the radius of first spheres, then what will be the ratio of the surface area of second sphere to first sphere?

1. $1:16$
2. $4:1$
3. $1:4$
4. $16:1$

Q. Match the following quantities for the sphere shown below:

1. Radius
2. Surface Area
3. 0.75 of Volume
4. $r$
5. $\pi r^3$
6. $4\pi r^2$

Q. A is a collection of points that are at a fixed distance from a fixed point in three dimensions.

1. Cone
2. Cylinder
3. Sphere

Q. Sam buys a new ball and he wants to find the surface area of this ball. If the radius of the ball is $4\text{cm}$, then what will be its surface area?

Note: take value of $\pi =\frac{22}{7}$.

1. $16{\text{cm}}^2$
2. $50.28{\text{cm}}^2$
3. $201.14{\text{cm}}^2$
4. $150.85{\text{cm}}^2$

Q. The radius of a sphere increases from 3 units to 5 units. What is the increase in the following quantities?

1. $64\pi uni{t}^2$
2. $\frac{392}{3}\pi$
3. $2unit$