A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 $m^{3}$. The emptying capacity of the pump is 10 $m^{3}$ per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank as to fill it. The filling capacity of the pump is

If each side of a cube is decreased by $19 \%$, then the decrease in surface area is :

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

Consider the following statements, which of them is/are correct?

A. If the height of cylinder is doubled, the area of curved surface is doubled.

B. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold.

C. If a hemisphere and cone have equal bases and equal heights, then the ratio of curved surface area is $\sqrt{2}:1$.

A solid brass sphere of radius 21 cm is converted into a right circular cylindrical rod of length 28 cm. The ratio of total surface areas of the rod to sphere is :

Given below are two statements:

Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm³ (Take π = 22/7).

Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm² (Take π= 22/7).

In light of the above statements, choose the most appropriate answer from the options given below.

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is: