Volume of a right circular cone

Q.

An ice-cream machine has two taps for filling ice-cream cones of height 6 cm and radius 3 cm. If the flow rate of ice-cream from both taps is equal to 2 $c{m}^3{s}^{-1}$. Find the maximum number of cones machine can fill in an hour.

1. 248

2. 255

3. 258

4. 260

Q.

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

1. 1:1

2. 2:1

3. 4:1

4. 3:1

Q.

The volume of a cone of radius 7 $cm$ and slant height 14 $cm$ is ______.
$(use\pi =\frac{22}{7})$

1. $618.381c{m}^3$
2. $522.381c{m}^3$
3. $622.381c{m}^3$
4. $722.381c{m}^3$

Q.

The volume of a cone of radius 7 $cm$ and slant height 14 $cm$ is ______.
$(use\pi =\frac{22}{7})$

1. $618.381c{m}^3$
2. $522.381c{m}^3$
3. $622.381c{m}^3$
4. $722.381c{m}^3$

Q.

The height and radius of a cone is 6 cm and 3 cm respectively .The volume of cone is equal to___$\pi {cm}^3$.

Q.

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

1. 2:1

2. 1:1

3. 3:1

4. 4:1

Q.

A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _____ ($inc{m}^2$) and _____ ($inc{m}^3$) respectively.

1. $18\pi \&14\pi$
2. $20\pi \&16\pi$
3. $16\pi \&18\pi$
4. $22\pi \&20\pi$

Q.

The height and radius of a cone is 6 cm and 3 cm respectively .The volume of cone is equal to___$\pi {cm}^3$.

Q. The probability that a leap year selected at random will contain either 53 thursdays or 53 fridays is:

1. 5/7
2. 4/7
3. 3/7
4. 2/7

Q.

An ice-cream machine has two taps for filling ice-cream cones of height 6 cm and radius 3 cm. If the flow rate of ice-cream from both taps is equal to 2 $c{m}^3{s}^{-1}$. Find the maximum number of cones machine can fill in an hour.

1. 248

2. 255

3. 258

4. 260