The radius of a sphere is 2r, then its volume will be
The total surface area of a cube is 96 cm2. The volume of the cube is:
(A) 8 cm3 (B) 512 cm3 (C) 64 cm3 (D) 27 cm3
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere.
The radius of the sphere is:
(A) 4.2 cm (B) 2.1 cm (C) 2.4 cm (D) 1.6 cm
In a cylinder, radius is doubled and height is halved, curved surface area will be
(A) halved (B) doubled (C) same (D) four times
The total surface area of a cone whose radius is r/2 and slant height 2l is
Write True or False and justify your answer in each of the following:
The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.
If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.
In a right circular cone, height, radius and slant height do not always be sides of a right triangle.
If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.
The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.
Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16 cm × 8 cm × 8 cm. When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [Use π =3.14]
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3.If the present depth of water is 1.3 m, find the volume of water already used from the tank.
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube?
A semi-circular sheet of metal of diameter 28cm is bent to form an open conical cup. Find the capacity of the cup.
A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m
(i) How many students can sit in the tent if a student, on an average, occupies 5/7 m2 on the ground?
(ii) Find the volume of the cone.
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
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