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Surface Area and Volumes

Total questions: 10

Worksheet time: 12mins

Name
Class
Date
1.

Formula for curved surface area of cone is

a)

2πr2\pi r

b)

2πh2\pi h

c)

πrl\pi rl

d)

πrh\pi rh

2.

slant height, l=l=  

a)

r+hr+h  

b)

r2+h2r^2+h^2  

c)

r+h\sqrt{r+h}  

d)

r2+h2\sqrt{r^2+h^2}  

3.

Formula for calculating surface area of cuboidal box without its top is

a)

2(lb+lh)+lb2\left(lb+lh\right)+lb

b)

2(hb+hl)+lb2\left(hb+hl\right)+lb

c)

2(hb+hl+lb)2\left(hb+hl+lb\right)

d)

2(hb+lb)2\left(hb+lb\right)

4.

Total surface area of a hemisphere of radius 10 cm is. (use π = 3.14)

a)

842 sqcm

b)

942 sqcm

c)

742 sqcm

d)

642 sqcm

5.

For a sphere of radius r, curved surface area of the hemisphere

a)

2πr22\pi r^2

b)

3πr23\pi r^2

c)

4πr24\pi r^2

d)

πr2\pi r^2

6.

Consider a hollow cylinder having external radius R, internal radius r and height h. Volume of the material

a)

πr2h\pi r^2h

b)

π(R2r2)h\pi\left(R^2-r^2\right)h

c)

π(Rr)2h\pi\left(R-r\right)^2h

d)

π(h2r2)R\pi\left(h^2-r^2\right)R

7.

The radius of a wheel is 0.25m. The number of revolutions it will make to travel a distance of 11km is

a)

6500

b)

7000

c)

6050

d)

7500

8.

If curved surface area of cylinder is equal to its volume then radius of cylinder equals........

a)

6

b)

4

c)

2

d)

1

9.

If the surface area of a sphere is 616 cm2 , its diameter (in cm) is

a)

7

b)

14

c)

28

d)

56

10.

If the perimeter of one of the faces of a cube is 40 cm, then its volume is:

a)

6000 cm³

b)

1600 cm³

c)

600 cm³

d)

1000 cm³