If the area of the base, height and volume of a right prism be and 7200 cm3 respectively, then the value of P will be
A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is that of the pool, then the radius (in m) of the pool is
20
30
16
16
A.
20
Area of pool = A Area of wall =
Area of (pool + wall) = Area of pool =
Area of wall = Area of (pool + wall) - Area of pool
A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is
3.5
35
35
The area of the iron sheet required to prepare a cone 24 cm high with base radius 7 cm is .
708 cm2
804 cm2
704 cm2
704 cm2
A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. Then, the volume of the cylinder is
180/π cm3
120/π cm3
100/π cm3
60/π cm3
The radius of a sphere and hemisphere are same. The ratio of their total surface areas is
3 : 1
2 : 1
3 : 2
3 : 2
The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm3 more. Assuming the height of the cylinder is
5 cm
7 cm
9 cm
9 cm
A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is
5
10
20
20
The volume of metallic cylindrical pipe of uniform thickness is 748 cm3. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is
0.5 cm
1.5 cm
1 cm
1 cm
If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm2 then its volume is
1760 cm3
8800 cm3
2002 cm3
2002 cm3