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10th
grade

Mathematics

58%

accuracy

plays

Prakash Subedi

4 years

Mathematics

10th

grade

Cylinder, Sphere and Hemisphere

Prakash Subedi

7
plays

25 questions

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1. Multiple Choice
3 minutes
1 pt
The capacity of a cylindrical water tank is 539 litres .If its height is 1.4 m, find the radius of the base.
35cm
14cm
28cm
70cm
2. Multiple Choice
3 minutes
1 pt
If the surface area of a sphere is 22176 sq. cm, find its radius.
42cm
24cm
35cm
28cm
3. Multiple Choice
3 minutes
1 pt
If the height of a cone is three times the radius of the base and its volume is 512 $\pi$ $cm^3$ ,find the radius of its base.
6cm
8cm
12cm
14cm
4. Multiple Choice
3 minutes
1 pt
If the volume of a hemisphere is 486 $\pi$ cm3, its radius is.
9cm
7cm
3.5cm
10.5cm
5. Multiple Choice
3 minutes
1 pt
A cylindrical water tank contains, 3,85,000 litres of water .If its height is 10 m, find its diameter.
70 cm
3.5m
7m
70m
6. Multiple Choice
3 minutes
1 pt
A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. What is the volume of a half part?
4620 $cm^3$
4640 $cm^3$
4560 $cm^3$
4420 $cm^3$
7. Multiple Choice
3 minutes
1 pt
If the sum of the radius and the height of a right cylinder is 50 cm and the circumference of its base is 220 cm, find its total surface area .
11000 sq.cm
10000 sq.cm
55000 sq.cm
11 sq.m
8. Multiple Choice
3 minutes
1 pt
If the radius of base and height of the cylinder are in the ratio of 5:7 and the volume is 550 cubic cm, find the radius of the base of the cylinder.
5cm
7cm
10cm
3.5cm
9. Multiple Choice
3 minutes
1 pt
The ratio of the radius of base and the height of a cylinder is 7:8 .If the volume of the cylinder is 9,856 cm³,find the total surface area of the cylinder.
2640 cm²
2440 cm²
2460 cm²
2442cm²
10. Multiple Choice
3 minutes
1 pt
The sum of the height and radius of the base of the cylinder is 34 cm .If the total surface area of the cylinder is 2,992 cm^2, find its volume.
$12320cm^3$
$12230cm^3$
$13220cm^3$
$13240cm^3$
11. Multiple Choice
3 minutes
1 pt
50 circular plates, each of radius 7 cm and thickness 5 mm are placed one above the other to form a cylindrical shape. Find the volume of cylinder so formed.
3850 $cm^3$
3460 $cm^3$
3450 $cm^3$
3650 $cm^3$
12. Multiple Choice
3 minutes
1 pt
How many cubic meters of earth must be dug out to construct a cylindrical well which is 25 m deep and the radius of the base is 3.5 m.
$962.5m^3$
$966.5cm^3$
$465.40cm^3$
$866.5cm^3$
13. Multiple Choice
3 minutes
1 pt
If the perimeter of plain circular surface of a hemisphere is 176 cm, calculate TSA of hemisphere.
7392cm²
6362cm²
9234cm²
8424cm²
14. Multiple Choice
3 minutes
1 pt
The external and internal radii of a hollow spherical metallic shell are 35 cm and 14 cm respectively. Calculate the volume of the metal contained by the shell.
168168 cubic cm
168268 cubic cm
166168 cubic cm
186186 cubic cm
15. Multiple Choice
3 minutes
1 pt
A solid metallic sphere of radius is cut into two halves. Find the total surface area of the two hemispheres so formed.
6 $\pi$ $r^2$
4 $\pi$ $r^2$
3 $\pi$ $r^2$
2 $\pi$ $r^2$
16. Multiple Choice
3 minutes
1 pt
How many lead balls each of radius 1 cm can be made from a solid sphere of diameter 12 cm ?
216
36
144
288
17. Multiple Choice
3 minutes
1 pt
A spherical ball of radius 3 cm is melted and recast into three spherical balls .The radii of two of them are 1.5 cm and 2cm. Find the diameter of the third ball.
5 cm
1.75cm
3.5cm
2.5cm
18. Multiple Choice
3 minutes
1 pt
A cylindrical tub of radius 16 cm contains water to a certain depth. When a spherical ball is dropped into the tube, the level of the water is raised by 9 cm. Find the radius of the ball.
12cm
10cm
8cm
6cm
19. Multiple Choice
3 minutes
1 pt
A cylinder whose height is two third of its diameter, has the same volume as the sphere of radius 21 cm. Calculate the curved surface area of the cylinder.
3696 sq cm
3496 sq cm
3296 sq cm
3796 sq cm
20. Multiple Choice
3 minutes
1 pt
The surface area of a ball is twice the area of curved surface of a cylinder. If the height and radius of the cylinder be 10.5 cm each, find the volume of the sphere .
4851cm³
4651cm³
4751cm³
4451cm³
21. Multiple Choice
30 seconds
1 pt
What is the volume of a cylinder?
V=4/3 πr³
V= 2πr
V=πr²h
V=2πr²h
22. Multiple Choice
30 seconds
1 pt
a three dimensional figure with two parallel congruent circular bases connected by a curved surface
cone
cylinder
sphere
hemisphere
23. Multiple Choice
30 seconds
1 pt
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
The cylinder is 1/3 the volume of the cone.
The cone is 1/3 the volume of the cylinder.
They have the same volume.
Their volumes are not related at all.
24. Multiple Choice
30 seconds
1 pt
What is this formula?
suface area of a cone
surface area of a sphere
volume of a cone
volume of a sphere
25. Multiple Choice
30 seconds
1 pt
Which is the surface area of a cylender
$2\pi rh$
$\pi r\left(r+l\right)$
$2\pi rh+2\pi r^2$
$\pi r\left(r+h\right)$
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