Hemisphere and Its Surface Area

Q. A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surface area will be:

1. $\sqrt{2}:1$
2. $\sqrt{3}:1$
3. $2:1$
4. $1:\sqrt{2}$

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Question 5
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 $Rs.16per100c{m}^2.[Assume\pi =\frac{22}{7}]$

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Question 2
Theinner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if $1c{m}^3$ of wood has a mass of 0.6 g.
$[Assume\pi =\frac{22}{7}]$

Q. The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if $1c{m}^3$ of wood has a mass of 0.6 g.
$[Assume\pi =\frac{22}{7}]$

Q. Curved surface area of solid sphere is $24{cm}^2$. If the sphere is divided into two hemispheres, then the total surface area of one of the hemisphere is

1. $12{cm}^2$
2. $8{cm}^2$
3. $18{cm}^2$
4. $16{cm}^2$

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The volume of hemisphere with total surface area 115.62 cm² is approximately (Take π= 22/7)

1. 40 cm³

2. 25 cm³

3. 60 cm³

4. 90 cm³

Q. The volume of a hemisphere is $2425\frac{1}{2}c{m}^3$. Find its curved surface area. $[Use\pi =\frac{22}{7}].$

1. $785.30$ cu. cm
2. $657.30$ cu. cm
3. $345.30$ cu. cm
4. $698.30$ cu. cm

Q. A cubical block of side 7 cm is surmounted by a hemisphere of diameter equal to the side of the cube.Find the surface area of the solid.

1. $322.5c{m}^2$
2. $332.5c{m}^2$
3. $342.5c{m}^2$
   
4. $38.5c{m}^2$
   

Q.

The volume of hemisphere with total surface area 115.62 cm² is approximately (Take π= 22/7)

1. 60 cm³

2. 40 cm³

3. 90 cm³

4. 25 cm³