Test Details

Surface Areas and Volumes

Jan 30, 7:00 PM

120 minutes

Jan 30, 9:00 PM

40.0 marks

MCQ

20 questions

Jayashri Mahadev Bhosale

Class Details

Maths

Class 9th

Maths

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Question Text

Question 1 :
A cylindrical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 $m^2$ . How many revolutions did it make?

Question 2 :
Find the volume of the right circular cone with radius 3.5 cm, height 12 cm.

Question 3 :
State true or false: If the length of the diagonal of a cube is $6\sqrt3$ cm, then the length of the edge of the cube is 3 cm.

Question 4 :
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per $m^2$ , find inner curved surface area of the vessel.

Question 5 :
A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?

Question 6 :
Find the volume of a sphere whose surface area is 154 $cm^2$ .

Question 7 :
A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?

Question 8 :
Curved surface area of a right circular cylinder is 4.4 $m^2$ . If the radius of the base of the cylinder is 0.7 m, find its height.Assume $\pi$ =$\frac{22}{7}$.

Question 9 :
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of Rs 16 per 100 $cm^2$ .

Question 10 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the cost of the canvas required to make the tent, if the cost of 1 $m^2$ canvas is Rs 70.

Question 11 :
Find the surface area of a sphere of radius 14 cm.

Question 12 :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. Find the ratios of the surface areas of the balloon in the two cases.

Question 13 :
Find the surface area of a sphere of radius 10.5 cm.

Question 14 :
What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use $\pi$= 3.14).

Question 15 :
Find the surface area of a sphere of diameter 14 cm.

Question 16 :
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area of the cone (Use $\pi$ = 3.14).

Question 17 :
If we cut out many of the plane figures and stack them up in a vertical pile is called ______

Question 18 :
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is first revolved about the side 12 cm and then about the side 5 cm. Find the ratio of the volumes of the two solids obtained.

Question 19 :
Find how much steel was actually used, if $\frac{1}{12}$ of the steel actually used was wasted in making the tank that is 4.2 m in diameter and 4.5 m high.Assume $\pi$ =$\frac{22}{7}$.

Question 20 :
State true or false: A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.

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