Surface Area and Volume of Solids

A cubical box has each edge $15 \mathrm{c}\mathrm{m}$ and another cuboidal box is having $l, b$and $h$ as $16.5 \mathrm{cm}, 12 \mathrm{cm},$and $7 \mathrm{c}\mathrm{m}$ respectively. Find out which box has the smaller total surface area.

What meant by surface area and volume cube?

A hollow sphere of internal and external radii $6 \mathrm{cm} \& 8 \mathrm{cm}$ respectively, is melted and recast into small cones of base radius $2 \mathrm{cm}$ and height $8 \mathrm{cm}$. Find the number of cones.

If the surface area of a sphere is$\left(144\mathrm{\pi }\right) {\mathrm{m}}^2$ then its volume is

The volume of sphere is $38808 {\mathrm{cm}}^3$. Its curved surface area is [Use $\mathrm{\pi }=\frac{22}{7}$]

The number of coins $1.75 \mathrm{cm}$ in diameter and $2 \mathrm{mm}$ thick which can be made from a melted cuboid $\left(10 \mathrm{cm}\times 5.5 \mathrm{cm}\times 3.5 \mathrm{cm}\right)$ is

The number of coins $1.75 \mathrm{cm}$ in diameter and $2 \mathrm{mm}$ thick which can be made from a melted cuboid $\left(10 \mathrm{cm}\times 5.5 \mathrm{cm}\times 3.5 \mathrm{cm}\right)$ is

How many lead shots each $3 \mathrm{mm}$ in diameter can be made from a cuboid of dimensions $9 \mathrm{cm}\times 11 \mathrm{cm}\times 12 \mathrm{cm}$? $($Assume $\mathrm{\pi }=\frac{22}{7})$

A $14 \mathrm{m}$ deep well with an inner diameter $10 \mathrm{m}$ is dug and the earth taken out is evenly spread all around the well to form an embankment of width $5 \mathrm{m}$. If the height of the embankment is $k \mathrm{m}$, find the value of $k$ up to two decimal places. (Take $\mathrm{\pi }=\frac{22}{7}$)

The curved surface area of a hemisphere with radius $1 \mathrm{cm}$ is

The volume of a hemisphere of radius $3 \mathrm{cm}$ is 

The bottom of a right cylindrical shaped vessel made from metallic sheet is closed by a cone-shaped vessel as shown in the figure. The radius of the circular base of the cylinder and radius of the circular base of the cone are each is equal to $7 \mathrm{cm}$. If the height of the cylinder is $20 \mathrm{cm}$ and height of cone is $3 \mathrm{cm}$, calculate the cost of milk (in $₹$) to fill completely this vessel at the rate of $₹20$ per litre. [Take $\mathrm{\pi }=\frac{22}{7}$]

The formula used to find the total surface area of a right circular cylinder is

How many silver coins of diameter $5 \mathrm{cm}$ and thickness $4 \mathrm{mm}$ have to be melted to prepare a cuboid of $12 \mathrm{cm}\times 11 \mathrm{cm}\times 5 \mathrm{cm}$ dimension? Assume $\mathrm{\pi }=\frac{22}{7}$.

The surface area of a sphere of radius $7 \mathrm{cm}$ is

The radius and slant height of a cone are $4 \mathrm{cm}$ and $25 \mathrm{cm}$ respectively. Find the curved surface area of that cone in $\mathrm{cm}$.$\left(\mathrm{\pi }=3.14\right)$

The volume of a cube is $1000 {\mathrm{cm}}^3$. Find its side in $\mathrm{cm}$.

The radius of a semi-sphere is $7 \mathrm{cm}$, find the total surface area of it(in ${\mathrm{cm}}^2$).

The total surface area of a cube is $216$ square metre. Find the side of the cube(in cm).

In a hemispherical bowl of $2.1 \mathrm{cm}$ radius ice-cream is there. Find the volume of the bowl (in ${\mathrm{cm}}^3$), correct to three decimal places. [Assume $\mathrm{\pi }=\frac{22}{7}$]