Surface Area of a Right Circular Cylinder

Q. Find the volume of a hemisphere whose radius is 3 inches.​

1. $18\pi cu.inches$
2. $36\pi cu.inches$
3. $15\pi cu.inches$
4. $12\pi cu.inches$

Q.

The ratio of radii of two cylinders is $1:2$ and heights are in the ratio $2:3$. The ratio of there volumes is

1. $1:6$

2. $1:9$

3. $1:3$

4. $2:9$

Q. For a cylinder of radius 'r' and and height 'h', match the following.

1. 2πrh
2. 2πr(r+h)
3. πr${}^2$h

Q. Radii of two solid hemispheres are in the ratio 3:5. Find the ratio of their curved surface areas.

1. None of these
2. $\frac{C_1}{C_2}$ = $\frac{9}{5}$
3. $\frac{C_1}{C_2}$ = $\frac{2}{25}$
4. $\frac{C_1}{C_2}$ = $\frac{9}{25}$

Q.

The ratio between the curved surface area and the total surface area of a right circular cylinder is $1:2$. Find the volume of the cylinder if its total surface area is $616c{m}^{2.}$

Q. If the curved surface area of a cylinder of height 14 cm is 88 sq. cm, then find the diameter of the cylinder.

1. 2 cm
2. 1 cm
3. 4 cm
4. 3 cm

Q. Radii of hemispheres are given below. Arrange them according to the increasing order of their volume.

1. $\frac{23}{4}$
2. $\frac{11}{2}$
3. $9$
4. $\frac{17}{2}$
5. 13

Q.

Eight times the sum of the areas of two circular faces of a cylinder is equal to the four times the curved surface area of the cylinder. It is given that the diameter of the cylinder is 4n, where n is an integer and height of the cylinder is 8 cm. Find the value of n.

1. 2
2. 1
3. 3
4. 4

Q. The lateral surface area of a cylinder with radius 3 cm and height 7 cm = cm ${}^2$.

1. 132
2. 198
3. 204
4. 212

Q.

A road roller was used for levelling a road of width 2 m. It was observed that, the road roller required 25 complete revolutions to level the entire road. If the radius and the length of the roller is 7 m and 2 m respectively, then length of the road is ____. [Take $\pi$ = 3.14].

1. 1200 m

2. 2100 m

3. 1100 m

4. 1234 m

Q. For a cylinder of radius 'r' and height 'h', TSA = and CSA = .

1. 2πrh

2. 2πrh + πr${}^2$

3. 2πr(r+h)
4. πr${}^2$

Q.

If the base area of a hemisphere is 10 sq.cm and its curved surface are is____.

1. 20 sq. cm

2. 30 sq. cm

3. 40 sq. cm

4. 80 sq. cm

Q. If the cost of painting the CSA of a cylinder of height 20 m at ₹ 40 per sq.m is ₹ 8800, then radius is .

1. 1.75 m
2. 3.5 m
3. 7 m

Q. Total surface area of a cylinder whose radius is 4 cm and height is 10 cm is .

1. $452{\text{cm}}^2$
2. $342{\text{cm}}^2$
3. $352{\text{cm}}^2$
4. $652{\text{cm}}^2$

Q. Which of the following area in the given cylinder of radius 7 cm and height 10 cm is equal to 440 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${cm}^2$ ?

1. Area 1
2. Area 2
3. Area 1 + Area 2
4. Area 1 - Area 2

Q. The curved surface area of a cylinder is 1, 650 $c{m}^2$. Its base has a circumference of 55 cm. The height of the cylinder is:

1. 55 cm
2. 15 cm
3. 30 cm
4. 40 cm

Q. Which of the following area in the given cylinder of radius 7 cm and height 10 cm is equal to 440 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${cm}^2$ ?

1. Area 1
2. Area 2
3. Area 1 + Area 2
4. Area 1 - Area 2

Q. The cost of painting the inner CSA of a cylinder of height 20 m at ₹ 40 per sq.m is ₹ 8800, then CSA is .

1. 220 m${}^2$
2. 210 m${}^2$
3. 230 m${}^2$

Q.

A rectangular paper is folded into a cylinder. The length and breadth of the paper are L and B respectively. What is the outer surface area of the cylinder?

1. LB

2. $\pi$LB

3. 2$\pi$LB

4. 2LB

Q.

Find the CSA of a cylindrical container of depth 20 m and radius 0.7 m.

1. 22 $m^2$

2. 44 $m^2$

3. 88 $m^2$

4. 11 $m^2$

Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> The total surface area of a right circular cylinder is 352 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $m^2$. If the radius of the base of the cylinder is 7 m, find its height.

1. 8 m
2. 4.5 m
3. 1 m

Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> The total surface area of a right circular cylinder is 352 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $m^2$. If the radius of the base of the cylinder is 7 m, find its height.

1. 8 m
2. 4.5 m
3. 1 m