Surface Area of a Combination of Solids

Given the lateral surface area of the cube to be $900 {\mathrm{cm}}^2$, find the side of the cube in $\mathrm{cm}$.

Find the Total surface area of a hollow hemisphere whose outer and inner radii are given as  $4·2$ cm and$1·4$ cm respectively.

Find the curved surface area of a hollow hemisphere whose outer radii is $6·1$cm.

Given the C.S.A. of a cylinder to be $154 {\mathrm{cm}}^2$, and the height to be equal to twice the radius of the base. Find the radius and height of a cylinder.

 Find (in ${\mathrm{cm}}^2$) the curved surface area of a hollow cylinder with thickness $2 \mathrm{cm}$, external radius $8 \mathrm{cm}$ and height is $20 \mathrm{cm}$.

Find the total surface area of a hemisphere of radius $35 \mathrm{cm}$.

Find the total surface area of a hemisphere of radius $3.5 \mathrm{cm}$.

Find the curved surface area of a cylinder with radius $3 \mathrm{cm}$ and height $5 \mathrm{cm}$.

Find the total surface area of a cone with radius $3 \mathrm{cm}$ and height $4 \mathrm{cm}$.

Find the total surface area of a cone with radius $3 \mathrm{cm}$ and slant height $7 \mathrm{cm}$.

Find the total surface area of a cube with side length $6 \mathrm{cm}$.

Find the lateral surface area of a cuboid with dimensions length $=3 \mathrm{cm}$, breadth $=2 \mathrm{cm}$ and height $=5 \mathrm{cm}$.

Find the lateral surface area of a cuboid with dimensions length $=2 \mathrm{m}$, breadth $=4 \mathrm{m}$ and height $=5 \mathrm{m}$.

A solid cone has surface area $125.7{ \mathrm{cm}}^2$, and base radius $4 \mathrm{cm}$. Find its slant height in $\mathrm{cm}$. [Take $\mathrm{\pi }=3.14$ and correct up to one decimal place]

The diagram shows the dimensions of a paper cup. Calculate the area of paper used to make the cup in ${\mathrm{cm}}^2$. [Take $\mathrm{\pi }=3.14$]

Find the lateral surface area $\left(\mathrm{in} {\mathrm{m}}^2\right)$ of the following solid cone upto two decimal places. [ Take $\mathrm{\pi }=3.14$]

A wooden toy is in the form of cone surmounted on a hemisphere. The diameter of the base of the cone is $14 \mathrm{cm}$ and its height is $24 \mathrm{cm}$. Find the total surface area of the toy in ${\mathrm{cm}}^2$.

A silo has a cylindrical part and a roof that is a hemisphere. The radius of the cylinder is $3 \mathrm{m}$ and its height is $12 \mathrm{m}$. The entire silo is to be painted. Find how much paint is needed if $1 \mathrm{L}$ of paint covers $8.5 {\mathrm{m}}^2$ of surface.       [Enter the value to the nearest integer and excluding units]

Find the surface area of a solid hemisphere with radius $4 \mathrm{cm}$.             [Enter the value excluding units and correct up to three significant figures]

Find the surface area of the following solid.             [Enter the value excluding units and correct up to three significant figures]