Q12 of 51 Page 13

The rainwater from a roof 22 m × 20 m drains into cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full. Find the rainfall in cm.

Given: Length of roof = 22 m


Breadth of roof = 20 m


Diameter of cylindrical vessel = 2 m


Height of cylindrical vessel = 3.5 m


To find: The rainfall in cm.


Formula Used:


volume of cylinder = πr2h


Volume of cuboid = L×B×H


Explanation:



Given, length of the roof, l = 22m


breadth of the roof, b = 20m


height of the vessel, h = 3.5m


Diameter of base, D = 2m


∴Radius of the base, r =


Let height of the roof = H m


As we know that volume of cylinder =


where h is the height of the cylinder and r is the radius of the base.


If the vessel is full, then we can say that


Volume of roof = volume of the cylindrical tank





⇒ H = 0.025 m


⇒ H = 2.5 cm


Hence the rainfall is 2.5 cm.


More from this chapter

All 51 →
10

If the heights of two right circular cones are in the ratio 1:2 and the perimeters of their bases are in ratio 3:4, what is the ratio of their volumes?

 11

A cone of radius 10 cm is divided into two parts by drawing a plane through the midpoint of its axis, parallel to its base. Compare the volume of the two parts.

 13

A well of diameter 3 m dug 14 m deep the earth was taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embarkment. Find the height of embarkment.

 14

The diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform cross-section. If the length of the wire is 36 m, find its radius.