Find the number of common tangents, if r1 + r2 = C1C2

The base of a triangle is 18 cm and height is 14 cm. The height of another triangle of double the area having the base 21 cm is:

If the side of square and its area is in the ratio of 9:45 then find its perimeter?

The radius of the base of a cone is 6 cm, and its slant height is 10 cm. What is the surface area of the cone?

Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bow's inner radius is 6 cm. Find the bowl's outside curved surface.

A cuboid has its dimensions in the ratio 2:1:3. If the volume of the cuboid is 3072 cm³, calculate the sum of its dimensions.

Find the coordinates of the points where the graph 57x – 19y = 399 cuts the coordinate axes.

Find the volume of a hemisphere whose radius is 25% smaller than the side length of a square with a perimeter of 160 cm. 

The volume of cone is 4752 cm³. If its height is 3.5 cm then find the radius of the cone.

A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?