Surface Area of Hemisphere

Q.

The ratio of the total surface area of a sphere and a hemisphere of the same radius is

1. 2 : 1
   

2. 3 : 2

3. 4 : 1
   

4. 4 : 3
   

Q.

A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 16 cm and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per $100c{m}^2$

Q.

What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20cm.[Use\pi =3.14]$

Q.

A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of Rs. 32 per 100 $c{m}^2$.

Q.

The total surface area of a hemisphere of radius r is

1. $2\pi r^2$
   

2. $3\pi r^2$
   

3. $4\pi r^2$
   

4. $\pi r^2$
   

Q.

A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder be 1.4 m and its length be 8 m find the cost of painting it on the outside at the rate of Rs. 10 per $m^2$

Q.

A hemi- spherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs. 5 per $100c{m}^2.$

Q.

The radius of a hemispherical balloon increases from $6cm$ to $12cm$ as air is being pumped into it. The ratio of the surface areas of the balloons in two cases is
(a) $1:4$ (b) $1:3$ (c) $2:3$ (d) $1:2$

Q.

Find the total surface area of a hemisphere of radius $10cm$.

Q.

Find the total surface are of a hemisphere and a solid hemisphere each of radius 10 cm.

Q.

The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.

Q.

A cylinder of same height and radius is placed on the top of a hemisphere. Find the length of the shape be 7 cm.

Q. What is the volume of the hemisphere whose radius is r?

1. $2\pi r^3$
2. $\frac{4}{3}\pi r^3$
3. $\frac{2}{3}\pi r^3$
4. $4\pi r^3$

Q.

A conical tent is $10m$ high and the radius of its base is$24m$. Find slant height of the tent and cost of the canvas required to make the tent, if the cost of $1m^2$ canvas is $Rs.70$.

Q.

What is the total surface area of a closed hemisphere?

1. 4$\pi$$r^2$

2. 2$\pi$$r^2$

3. $\frac{4}{3}$$\pi$$r^2$

4. 3$\pi$$r^2$

Q.

Question 6
Find the radius of a sphere whose surface area is $154c{m}^2$.

$[Assume\pi =\frac{22}{7}]$

Q. Question 2
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

Q. Question 5
How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?
$[Assume\pi =\frac{22}{7}]$

Q. What's the relation between the curved surface area of a hemisphere and the total surface area of hemisphere?

1. $CSA=\frac{2}{3}\times TSA$
2. $CSA=\frac{3}{2}\times TSA$
3. $TSA=\frac{2}{3}\times CSA$
4. $CSA=\frac{4}{3}\times TSA$

Q.

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm.$ Find the inner surface area of the vessel.

Q.

Find the volume of a sphere whose surface area is $154c{m}^2$. (Assume $\pi =\frac{22}{7}$)

Q.

A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm.Find the outer curved surface area of the bowl.

Q. How many litres of milk can a hemispherical bowl of diameter $10.5$ cm hold?

Q.

A hemispherical bowl made of brass has inner diameter of 10.5 cm. Find the cost of tin - plating it on the inside at the rate of Rs. 4 per $100c{m}^2$.

Q. The hemispherical dome of a building needs to be painted. If the circumference of the base of dome is $17.6$, find the cost of painting it, given the cost of painting is $Rs.5$ per $100c{m}^2$.

Q. Find the total surface area of a hollow hemisphere whose outer and inner radii are $4.2\text{cm}$ and $2.1\text{cm}$ respectively.

Q. A hemisphere bowl is made of steel, $0.25cm$ thick. the inner radius of the bowl is $5cm$. Find the outer curved surface area of the bowl.

Q. The inner curved surface area of a hemispherical dome of a building needs to be painted. If the circumference of the base is $17.6m$, find the cost of painting it at the rate of Rs.$5$ per sq.m

1. Rs.$246.40$
2. Rs.$24.40$
3. None of these
4. Rs.$26.40$

Q. A vessel is in the form of a hollow hemisphere. The diameter of the hemisphere is $14cm$. Find the inner surface area of the vessel.

Q. Find the difference between total surface area & curved surface area of a hemisphere of radius $21cm$.

1. $1376c{m}^2$
2. $1386c{m}^2$
3. $1396c{m}^2$
4. $1404c{m}^2$