Volume of a right circular cylinder

Q.

If a tank is in the shape of a right circular cylinder whose radius and height are 7 cm and 14 cm respectively, then the capacity of cylinder is ___ $\times {10}^{-4}{m}^3$.

Q. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:

1. 9:4
2. 20:27
3. 27:20
4. 4:9

Q.

How many cylindrical containers of r = 0.5cm and h= 7cm is required to completely filled a cylindrical container of radius 5 cm and height 14 cm?

___

Q.

A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is ____.
$(Use\pi =\frac{22}{7})$

1. ₹ 110/-

2. ₹ 220/-

3. ₹ 170/-

4. ₹ 190/-

Q.

Pavan filled water in a cylindrical vessel of radius 7cm and height 14cm. Then he gently dropped a spherical ball of radius 0.7cm. By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it? Give the answer in micrometres and correct up to 2 decimal places.

___

Q.

A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. The volume of the copper used in making the pipe is

___ ${cm}^3$.

Q.

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

1. 25%

2. 50%

3. 75%

4. 40%

Q. A soft drink is sold in aluminum cans of cylindrical shape that measure 6 inches in height and 2 inches in diameter. How much soda is filled if 10% of capacity is empty? (in cu in)

1. 16.92
2. 24
3. 12.8
4. 18.82

Q.

The volume and the total surface area of a cone whose height and slant height are $12cm$ and $13cm$ respectively are ________.

1. 80π $c{m}^3$ and 90π $c{m}^2$
2. 100π $c{m}^3$ and 90π $c{m}^2$
3. 100π $c{m}^3$ and 80π $c{m}^2$
4. 85π $c{m}^3$ and 95π $c{m}^2$

Q.

What is the volume of a cylinder whose radius is 2 cm and height is 14 cm?

1. 135 Cubic Centimeters

2. 182 Cubic Centimeters

3. 104 Cubic Centimeters

4. 176 Cubic Centimeters