Question Text
Question 1 :
The paint in a certain container is sufficient to paint an area equal to 9.375 $m^2$ . How many bricks of dimensions $22.5cm\times10cm\times7.5cm$ can be painted out of this container?
Question 2 :
Find the volume of a sphere whose radius is 0.63 m.
Question 3 :
Find the amount of water displaced by a solid spherical ball of diameter 28 cm.
Question 4 :
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.
Question 5 :
State true or false: If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.
Question 6 :
Find the surface area of a sphere of diameter 14 cm.
Question 7 :
A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between.
Question 8 :
The lateral surface area of a cube is 256 $m^2$. Find the volume of the cube.
Question 9 :
Monica has a piece of canvas whose area is 551 $m^2$ . She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 $m^2$ , find the volume of the tent that can be made with it.
Question 10 :
A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs 4989.60. If the cost of white-washing is Rs 20 per square metre, find the volume of the air inside the dome.
