Volume of a Solid Right Circular Cylinder

Q. The volume of a cuboid of length 2 m , width 3 m and height 5 m = m${}^3$.

1. 20
2. 15
3. 30
4. 60

Q.

A small terrace at a football ground comprises$ 15$‘ steps each of which is ’$ 50 \mathrm{m}$‘ long and built of solid concrete. Each step has a rise of ’$ \frac{1}{4} \mathrm{m}$‘ and a tread of ’$ \frac{1}{2} \mathrm{m}$. (see Fig.) . Calculate the total volume of concrete required to build the terrace. [Hint: Volume of concrete required to build the first step$ =\frac{1}{4}\times \frac{1}{2}\times 50 {\mathrm{m}}^{3}$ .]

|_\ N|= 4" 

Q. The capacity of a right circular cylinderical tank of radius 7 cm and height 14 cm = $\times {10}^{-4}{m}^3$.

1. 21.56
2. 2.156
3. 215.6
4. 0.2156

Q.

The volume of a cylinder is 200 cu.cm. Its base area is 20 sq. cm. Find its height.

1. 18 cm

2. 16 cm

3. 12 cm

4. 10 cm

Q.

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If, water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled(in minutes)?

1. 100

2. 80

3. 150

4. 200

Q. Volume of a cylinder is three times the volume of a ___ having the same base and of the same height.

1. Cube
2. Cone
3. Sphere
4. Another cylinder

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. ₹ 220/-

2. ₹ 190/-

3. ₹ 110/-

4. ₹ 170/-

Q. Match the unknown $x$ for a cylinder with radius 'r ', height '2r' and volume 'V' (all measures in cm).

1. 16π $c{m}^3$
2. 54π $c{m}^3$
3. 8 cm
4. 3 cm

Q. Number of cylindrical cups(r =6 cm & h =16 cm) that can be filled from a cylindrical can (r =30 cm & h = 64 cm) is .

1. 200
2. 100
3. 300

Q. Volume of cylinder is inversely proportional to the

1. radius of cylinder
2. height of cylinder
3. diameter of cylinder
4. None of the above

Q.

The volume of a cylinder is 200 cubic cm. Its height is 5 cm. Find the area of its base.

1. 45 sq cm

2. 40 sq cm

3. 50 sq cm

4. 48 sq cm