Question 1 :
A solid cube of side $7\ cm$ is melted to make a cone of height $5\ cm$, find the radius of the base of the cone.

Question 2 :
A spherical ball made of iron has diameter 6 cm. If density of iron 8g/$\displaystyle cm^{3} $ then mass of the ball is nearly (use $\displaystyle \pi =3.142 $)

Question 3 :
A hemispherical tank has inner radius of $1.05\;m$. Find its capacity in litres.

Question 4 :
The circumference of the base of a $12\ m$ high wooden solid cone is $44 \ m$. Find the volume.

Question 5 :
A soft drink can has a circular base with diameter $7 cm$ and height $12 cm$. A powder tin has a square base with side $7 cm$ and height $12 cm$. What is the difference in their capacities ?

Question 6 :
The rain water from a roof $44 m \times\, 20 m$ drains into a cylindrical vessel having diameter $2 m$ and height $2.8 m$. If the vessel is just full, find the rainfall in cm.

Question 7 :
Find the radius of a sphere whose surface area is $154$ cm$^{2}$.

Question 8 :
A cylindrical vessel with internal diameter $10\ cm$ and height $10.5\ cm$ is full of water. A solid cone of base diameter $7\ cm$ and height $6\ cm$ is completely immersed in water. Find the volume of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take $\pi = \dfrac{22}{7}$)

Question 9 :
The volume of sphere is$\displaystyle 904.77{ cm }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).

Question 10 :
A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is $50\%$ more than its height. If he diameter is same for both the bowl and the cylinder, then the amount of the beverage that can be poured from the bowl into the cylindrical vessel is __________.