Jose Paul Solutions for Chapter: Volume and Surface Area, Exercise 4: REVISION EXERCISE

A well dug$12 \mathrm{m}$ deep and has a radius of $0.7 \mathrm{m}$. The earth taken out is spread over a rectangular plot of $11 \mathrm{m}$ by $14 \mathrm{m}$ to raise the ground. If the height by which the ground is raised is $h \mathrm{cm}$, then find the value of $h$.

The thickness of a metallic pipe is $1 \mathrm{cm}$. Its inner diameter is $12 \mathrm{cm}$. If the volume of metal needed for a pipe of length $1 \mathrm{m}$ is $\mathrm{V} {\mathrm{cm}}^3$, then find the value of $\mathrm{V}$.

If the slant height of the cone with radius at the base $6 \mathrm{cm}$ and height $8 \mathrm{cm}$ is $l \mathrm{cm}$, then find the value of $l$.

The radius and the slant height of the cone is $7 \mathrm{cm}$ and $13 \mathrm{cm}$ respectively. If the lateral surface area of the cone is $S {\mathrm{cm}}^2$, then find the value of $S$. (Use $\mathrm{\pi }=3.14$)

The radius and the height of the cone is $12 \mathrm{cm}$ and $16 \mathrm{cm}$ respectively. If the lateral surface area of the cone is $S {\mathrm{cm}}^2$, then find the value of $S$. (Use $\mathrm{\pi }=3.14$)

A sharpened pencil is like a cone at the sharpened end. The sharpened slant height is $0.5 \mathrm{cm}$. The length of the conical part of the pencil is $0.4 \mathrm{cm}$. If the diameter of the pencil is $d \mathrm{cm}$, then find the value of $d$.

A conical structure has its diameter$24 \mathrm{m}$ and height $5 \mathrm{m}$.  If its lateral surface area is $S {\mathrm{m}}^2$, then find the value of $S$.

A cup in the form of a hemisphere has a capacity $718\frac{2}{3}$ cubic cm. If its radius is $r \mathrm{cm}$, then find the value of $r$.