Question Text
Question 1 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find its inner curved surface area.Assume $\pi$ =$\frac{22}{7}$.
Question 2 :
State true or false: If the edge of the cube is a, then volume of cube = $a^{3}$
Question 3 :
State true or false. An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in $cm^3$) is $(\frac{1}{6})\pi r^3$.
Question 4 :
A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per $cm^3$ , find the mass of the shot-putt.
Question 5 :
The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
Question 6 :
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 $m^3$.If the present depth of water is 1.3 m, find the volume of water already used from the tank.
Question 7 :
30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.
Question 8 :
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.
Question 9 :
The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
Question 10 :
The diameter of a sphere is decreased by $25\%$. By what per cent does its curved surface area decrease?