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Mensuration Quiz 09.08.2018

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Question 1

A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is

Question 2

A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?

Question 3

A vessel is in the form of a  cylinder mounted on a hemisphere.The diameter of the hemisphere is 18 cm and the ratio of the height of cylinder and radius of the hemisphere is 2:1. Find the volume of the vessel.

Question 4

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8 : 5, the ratio of their radius and height is

Question 5

If the sphere of radius r is divided into four identical parts. Then the total surface area of the four parts is

Question 6

If the radius of a sphere is increased by 2m, its surface-area is increased by 704 m2 .What is the radius of the original sphere?
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Question 7

The areas of three adjacent faces of cuboids are a2, b2, c2. If the volume of the cuboids is V, then which of these relations hold?

Question 8

A hemispherical solid is kept on the cone’s base which fits exactly. If the height of the cone is ‘a’ and the radius is three fourth of the height, then, find the Surface Area of the solid formed.

Question 9

If the total surface area of a hemisphere is 27π square cm, then the radius of the base of the hemisphere is

Question 10

The perimeter of a rhombus is 140cm. If one of the diagonal be 42 cm long. Find the length of other diagonal?
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