Sphere

Q. The radius of a sphere is increased by $P\%$. Its surface area increases by

1. $P\%$
2. $P^2\%$
3. $(2p+\frac{p^2}{100})\%$
4. $\frac{p^2}{2}\%$

Q. The volume of a sphere is equal to ___ the volume of a cylinder of the same height and diameter.

1. one –third
2. 8 times
3. double
4. two –third

Q.

Question 7

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?
(a) Total surface area of the cylinder will be doubled
(b) Total surface area of the cylinder will remain unchanged
(c) Total surface area of the cylinder will be halved
(d) None of the above

Q. The base of a right circular cone is ________ .

1. a circle
2. a triangle
3. a rectangle
4. a square

Q. The number of spheres of radius 'r' merged to make a large sphere of radius '3r' are .

1. 3
2. 9
3. 27
4. 18

Q.

The volume of a sphere is equal to the .......... of the volume of a cylinder whose height and diameter are equal to the diameter of sphere.

1. two-third

2. one-third

3. one-fifth

4. None of these