Volume of a Right Circular Cylinder

Q. A hollow cylindrical vessel with negligible thickness has a base area of $\frac{4}{3}$ sq ft and is $\frac{11}{7}$ ft long. Find the capacity of this vessel.

1. $\frac{44}{7}$ cu ft
2. $\frac{22}{21}$ cu ft
3. $\frac{44}{21}$ cu ft
4. $\frac{33}{28}$ cu ft

Q. An iron cylinder of radius $1.4cm$ and length $8cm$ is found to weigh $369.6g$. Calculate the density of iron.

1. $7500g/c{m}^3$
2. None of the above
   
3. $7500kg/c{m}^3$
4. $7500kg/m^3$

Q.

A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. The volume of the copper used in making the pipe is

___ ${cm}^3$.

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

1. (i) $77c{m}^3$ and (ii) $748c{m}^3$
2. (i) $70c{m}^3$ and (ii) $740c{m}^3$
3. (i) $85c{m}^3$ and (ii) $786c{m}^3$
4. (i) $88c{m}^3$ and (ii) $797c{m}^3$

Q. The radius of the outer circumference of a cylindrical ring is $12cm$ and the diameter of the cross-section is $1.5cm$. Then, the volume of circular ring is

1. $22.5c{m}^3$
2. $125c{m}^3$
3. $226c{m}^3$
4. $1250c{m}^3$