Advertisements
Advertisements
प्रश्न
A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.
उत्तर
Given, side of a cube = 11 cm
∴ Volume of cube= (Side)3
= 11 × 11 × 11 cm3
= 1331 cm3
Given, diameter of cylinder = 28 cm
∴ Radius (r) of cylinder = `28/2` = 14 cm
Volume = 1331 cm3
∴ Rise in water level = `"Volume"/(pir^2)`
= `(1331 xx 7)/(22 xx 14 xx 14) cm`
= `121/56 cm`
= 2.16 cm
APPEARS IN
संबंधित प्रश्न
A spherical shell of lead, whose external and internal diameters are 24 cm and 18 cm, is melted and recast into a right circular cylinder 37 cm high. Find the diameter of the base of the cylinder.
150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
The volume of a right circular cylinder with its height equal to the radius is `25"1"/7` cm3. Find the height of the cylinder.
The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. Find the ratio of their volumes.
A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. Find the radius of the base of the cone.
Choose the correct answer of the following question:
A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is
The radius of a solid right circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its : volume
Find the perimeter and area of the shaded portion of the following diagram; give your answer correct to 3 significant figures. (Take π = 22/7).
Find the number of metallic circular disc with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
A solid is in the shape of a hemisphere of radius 7 cm, surmounted by a cone of height 4 cm. The solid is immersed completely in a cylindrical container filled with water to a certain height. If the radius of the cylinder is 14 cm, find the rise in the water level.