Mathematics quiz on Mensuration (11-04-2021)

The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumferences of the two circles is:

Find the maximum area of a rectangular field surrounded by a rope of length 120 meter.

The area of a rhombus is 100 . One of its diagonals is twice the other. What is the perimeter of the rhombus?

A sprinter running around a circular path completed 9 revolution in 36 minutes. If diameter of the circular part increases four folds, how many times will sprinter take to complete one revolution?

Consider a regular hexagon of side unit each. What is the area of the hexagon?

A small cone of base area 4π cm² and volume of 12π cm³ is cut from the top of a large cone of base area 16π cm² and volume of 80π cm³. Find the difference between the heights of the cones.

A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: (Take π = 22/7)

Find the area of the triangle excluding the portion covered by the sectors of the circles if the sides of a triangle are 6 cm, 8 cm, and 10 cm. Circles of radius 1 cm are drawn at each of its vertex? (π = 3.14)

The height of a right prism is 18 cm which is based on a square. If total surface area of the prism is 1034 cm², then find the volume of the prism.

The total surface area of a hemispherical dome is 7392 m². What is the radius of dome?