Andhra Pradesh Board Solutions for Chapter: Mensuration, Exercise 5: EXERCISE - 10.2

A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are $6 \mathrm{cm}$ and $4 \mathrm{cm}$ respectively. Determine the surface area of the toy. [use $\mathrm{\pi }=3.14$] 
 

A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. The radius of the common base is $8 \mathrm{cm}$, and the heights of the cylindrical and conical portions are $10 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively. Find the total surface area of the solid. [use $\mathrm{\pi }=3.14$]
 

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is $14 \mathrm{mm}$, and the width is $5 \mathrm{mm}$. Find its surface area.
  

Two cubes each of volume $64 {\mathrm{cm}}^3$ are joined end to end together. Find the total surface area of the resulting cuboid. 

A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be $1.4 \mathrm{m}$, and length of cylinder be $8 \mathrm{m}$. Find the cost of painting it on the outside at rate of $₹20 \mathrm{per} {\mathrm{m}}^2$. $\left(\text{Use}: \mathrm{\pi }=\frac{22}{7}\right)$

A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. Determine the surface area of the remaining solid. 

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is $10 \mathrm{cm}$, and its base radius is of $3.5 \mathrm{cm}$, find the total surface area of the article. $\left(\text{Use}: \mathrm{\pi }=\frac{22}{7}\right)$