Total Surface Area of a Cylinder

Q.

The total surface area of a cylinder is 6512 $c{m}^2$ and the circumference of its base is 88 cm. Find its height.

1. 68 cm

2. 65 cm

3. 60 cm

4. 50 cm

Q.

A rectangularpiece of paper of dimensions $22cm$ by $12cm$ is rolled along its length to form a cylinder. The volume of the cylinder so formed is _____.

1. $460c{m}^3$

2. $442c{m}^3$

3. $402c{m}^3$

4. $462c{m}^3$

Q. The radii of two right circular cylinders are in the ratio of 3:2 and their heights are in the ratio of 4:5. Calculate the ratio of their curved surface areas and also ratio of their volumes. [4 MARKS]

Q.

Curved surface area of a cylinder is $2\pi rh$.

1. True

2. False

Q.

Question 59

State whether the following statement is true or false:

Two cylinders with equal volume will always have equal surface area.

Q.

Find the total surface area of a right circular cylinder whose height is 15 cm and diameter of the cross section is 14 m.

1. 910 $c{m}^2$

2. 1000 $c{m}^2$

3. 1112 $c{m}^2$

4. 968 $c{m}^2$

Q.

___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm.

Q. A right circular cylinder has a height of 1 m and a radius of 35 cm. Find its volume, area of curved surface and total area.

Q.

Jane is wrapping a can of paint to gift a friend. If the can is 11 inches high and has a diameter of 7 inches, then how many square inches of wrapping paper will she use for covering the can?

1. 319

2. 120

3. 432

4. 231

Q.

The height of a circular cylinder is 2 cm and radius of its base is 7 cm. Then, the total surface area of the cylinder will be (in centimetre square) ___

Q.

A rectangular cardboard of dimensions 20 m $\times$ 10 m is placed on a table. 4 squares of side 2.5 m are cut out from the corners and the 4 sides are folded . Find the surface area of the resulting figure which is to be painted on all the sides.

1. 100

2. 175

3. 155
4. 180

Q. The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is $12936c{m}^3$, then the total surface area of the cylinder is

1. $3080c{m}^2$
2. $3480c{m}^2$
3. $4260c{m}^2$
4. $4860c{m}^2$

Q.

The number of square inches of paper required to make a hollow cylinder is equal to the curved surface area of the cylinder.

1. True

2. False

Q. What is the curved surface area of a cylinder if its height and radius are 8 cm and 2 cm respectively?

1. 24π sq cm
2. 16π sq cm
3. 20π sq cm
4. 32π sq cm

Q. What is the curved surface area of a cylinder if its height and radius are 8 cm and 2 cm respectively?

1. 16π sq cm
2. 24π sq cm
3. 20π sq cm
4. 32π sq cm

Q. What would be the curved surface area of a cylinder whose radius is 4 cm and its height is 8 cm?

1. 55π sq cm
2. 45π sq cm
3. 64π sq cm
4. 74π sq cm

Q.

Find the height of a cylinder whose radius is 7 m and total surface area is 968 $m^2$.

1. 7 m

2. 9 m

3. 10 m

4. 11 m