Mizoram Board Solutions for Chapter: Surface Areas and Volumes, Exercise 7: EXERCISE

The height of a cone is $15 \mathrm{c}\mathrm{m}.$ If its volume is $1570 \mathrm{c}{\mathrm{m}}^3$ and the diameter of its base is $d \mathrm{cm}$, then find the value of $d$. (Use $\mathrm{\pi }=3.14$).

If the volume of a right circular cone of height $9 \mathrm{c}\mathrm{m}$ is $48\mathrm{\pi } \mathrm{c}{\mathrm{m}}^3$ and the diameter of its base is $k \mathrm{cm}$, find $k$. Assume $\mathrm{\pi }=\frac{22}{7}$.

A conical pit of top diameter $3.5 \mathrm{m}$ is $12 \mathrm{m}$ deep. If its capacity is $A \mathrm{kilolitre}$, then find the value of $A$. Assume $\mathrm{\pi }=\frac{22}{7}$.

The volume of a right circular cone is $9856 \mathrm{c}{\mathrm{m}}^3$. If the diameter of the base is $28 \mathrm{c}\mathrm{m}$ and the height of the cone is $k \mathrm{cm}$, then find the value of $k.$ Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$.

The volume of a right circular cone is $9856 \mathrm{c}{\mathrm{m}}^3.$ If the diameter of the base is $28 \mathrm{c}\mathrm{m},$ and the slant height of the cone is $\mathrm{I} \mathrm{cm}$, find the value of $\mathrm{I}$. Assume $\mathrm{\pi }=\frac{22}{7}$.

The volume of a right circular cone is $9856 \mathrm{c}{\mathrm{m}}^3$. If the diameter of the base is $28 \mathrm{c}\mathrm{m}$ and the curved surface area of the cone is $A {\mathrm{cm}}^2$, then find the value of $A$. (Use $\mathrm{\pi }=\frac{22}{7}$)

A right triangle $\mathrm{A}\mathrm{B}\mathrm{C}$ with sides $5 \mathrm{c}\mathrm{m},$ $12 \mathrm{c}\mathrm{m}$ and $13 \mathrm{c}\mathrm{m}$ is revolved about the side $12 \mathrm{c}\mathrm{m}.$ If the volume of the solid so obtained is $k\mathrm{\pi } {\mathrm{cm}}^3$, then find the value of $k$.

A heap of wheat is in the form of a cone whose diameter is $10.5 \mathrm{m}$ and height is $3 \mathrm{m}.$ The heap is to be covered by canvas to protect it from rain. If the area of the canvas required is $\mathrm{A} {\mathrm{cm}}^2$, then find the value of $\mathrm{A}$ correct to two decimal places. Assume $\mathrm{\pi }=\frac{22}{7}$.