List of top Mathematical Ability Questions on Mensuration asked in APICET

The number of revolutions made by a wheel of radius $r_1$ to cover a distance of $5\frac{1}{2}$ km is 2500, while another wheel of radius $r_2$ made 3125 revolutions to cover the same distance. Then $r_1 + r_2 = ?$}

The circumradius of a triangle with sides 7, 24, 25 is:

The total surface area of a cuboid of length l = 5 cm, width b = 2 cm and height h = 3 cm is:

A conical chamber with the same height and base diameter is created from a solid cylinder of height 18 cm and diameter of 14 cm. The remaining solid's volume is around (take $\pi$ = 22/7):

The triangle whose vertices are $(5,7), (2,7)$ and $(5,2)$ is a _____ triangle.

A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground making an angle $30^\circ$ with it. The distance between the foot of the tree and the point where the top touches the ground is 8 m. Then the height of the tree is:

The outer and inner radii of a hollow sphere are 2 cm and 1 cm respectively. Then the volume of the sphere is _____ cm$^3$.

The perimeter of the parallelogram PQRS with sides 12 cm and 7 cm is ____ cm.

A cylinder and a sphere have the same radius. The height of the cylinder is three times its radius. Then the ratio of the volume of the cylinder to the volume of the sphere is: