Right Circular Cylinder

Q.

A cylinder has a volume of $1296cubicinches$. If you divide the radius of the cylinder by $12$. What is the volume (in cubic inches) of the smaller cylinder?

Q. If the height of a cylinder is doubled and its radius is halved, then what is the percentage change of its new curved surface area to its original surface area.

1. 50
2. 100
3. 10
4. 0

Q. If the height of a cylinder is doubled and its radius is halved, then what is the percentage change of its new curved surface area to its original surface area.

1. 0
2. 10
3. 50
4. 100

Q. If the height of a cylinder is doubled and its radius is halved, then what is the percentage change of its new curved surface area to its original surface area.

1. 0
2. 10
3. 50
4. 100

Q. The volumes of two cylinders are a : b and their heights are c :d. Find the ratio of their diameters.

1. $\frac{ad}{bc}$
2. $\frac{a{d}^2}{a{c}^2}$
3. $\sqrt{\frac{ad}{bc}}$
4. $\sqrt{\frac{a}{b}\times \frac{c}{d}}$

Q. What will be the shape formed by rotating a right angled triangle about its height?

1. Sphere
2. Cyclinder
3. Cone
4. Circle

Q.

Assertion: A cone is a solid figure.
Reason: A cone is generated when rectangular sheet is rotated about its axis.
Which of the following is correct?

1. If both assertion and reason are true and reason is the correct explanation of assertion
2. If both assertion and reason are true but reason is not the correct explanation of assertion.
3. If assertion is true but reason is false.
4. If assertion is false but reason is true.

Q.

The volume of a cylinder is $231c{m}^3$ and its height is 6 $cm$. A ball will fit inside the cylinder if its radius is ______.

1. 3 $cm$

2. 4 $cm$

3. 2.5 $cm$

4. 5 $cm$

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

1. another cylinder
2. cube
3. sphere
4. cone

Q. A glass is in the shape of a cylinder whose height is 4 times the radius. If the volume of the glass is 256π $f{t}^3$, then find the height of the cylinder.

1. 18 ft
2. 16 ft
3. 8 ft
4. 6 ft

Q. Two cylindrical jars have their diameters in the ratio 3 : 1, but their height is 1 : 3. Then ratio of their volumes is

1. 1 : 3
2. 2 : 5
3. 1 : 4
4. 3 : 1

Q.

what is cone volume