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?

If the height is doubled and the base is decreased by 20%, then the ratio of old area of the triangle and new area of the triangle is –

The perimeter of a semi-circle is 25.7 cm. What is its diameter (in cm)? (π = 3.14)

In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36°, then what is the measure of ∠BCP?

From a point within an equilateral triangle, perpendiculars drawn to the three sides, are 6 cm, 7 cm and 8 cm respectively. the length of the side of the triangle is:

The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio : 

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?