The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm²) of the remaining solid?

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank, in litres, is:

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?

If a store room of a house is in the shape of a cuboid having a length of 3 m, a width of 2 m, and a height of 4m, find the total area of its four walls.

In a triangle ABC, D is a point on BC such that If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

Two equal circles intersect such that each pass through the center of the other. If the length of the common chord of the circle is 10√3 cm, then what is the diameter of the circle?