Surface Area of a Combination 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.

The total surface area of a sphere is $154 {\mathrm{cm}}^2$. Find the diameter of the sphere in $\left(\mathrm{cm}\right)$

If the surface area of a sphere whose radius is given by $4.2 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, then find the value of k. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

Calculate the cost required to paint a ball which is in the shape of a sphere having a radius of $14 \mathrm{cm}$. If the cost of painting the ball is $₹3.5/\mathrm{square} \mathrm{cm}$. Take $\left(\mathrm{\pi }=\frac{22}{7}\right)$

If the total surface area of the cube having side $3.5 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, find the value of $k$

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

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

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

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 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).

A right circular cylinder has radius $3.5 \mathrm{cm}$ and height $14 \mathrm{cm}$. Find curved surface area (in ${\mathrm{cm}}^2$). Assume $\mathrm{\pi }=\frac{22}{7}$.

The total surface area of a cone whose radius is $r$ and slant height is $l$ is

Find the total surface area (in ${\mathrm{m}}^2$) of cone whose diameter of base is $14 \mathrm{m}$ and slant height is $25 \mathrm{m}$. Assume $\mathrm{\pi }=\frac{22}{7}$.

The height of a cylinder is $21 \mathrm{cm}$ and its curved surface area is $924 {\mathrm{cm}}^2$ . Find the radius of cylinder in centimetre. (Take $\pi =\frac{22}{7}$)

The total surface area of a hemisphere is

The ratio of slant height and radius of a cone is $7:4$. If its curved surface area is $792 {\mathrm{cm}}^2$, then find its radius in $\mathrm{cm}$.

The bases of two cones are of the same diameter. Ratio of their slant heights is $5:4$. If curved surface area of the smaller cone is $400 {\mathrm{cm}}^2$, then find the curved surface area of the bigger cone in ${\mathrm{cm}}^2$.

Find the height$\left(\mathrm{in} \mathrm{cm}\right)$of the right circular cone of slant height $25 \mathrm{cm}$ and area of its base is $154 {\mathrm{cm}}^2$.