Test Details

Surface Areas and Volumes

Feb 02, 5:00 PM

120 minutes

Feb 03, 5:00 PM

40.0 marks

MCQ

20 questions

sonikaanandacademy

Sonika Agarwal 25 years teching experience

Class Details

Maths

Class 9 Cbse

Maths

Live class Recorded lectures Test Sample papers

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Question Text

Question 1 :
A cylindrical vessel open at the top has a base diameter of 56 cm. If the total cost of painting the outer curved surface of the vessel is Rs 352 at the rate of Rs 0.2 per $100{ cm }^{ 2 },$ then the height of the vessel is 

Question 2 :
The radius of a solid right circular cylinder increases by $20\%$ and its height decreases by $20\%$. Find the percentage change in its volume.<br/>

Question 3 :
If a solid right circular cylinder made of iron is heated to increase its radius and height by $1$ percent each, then the volume of the solid is increased by

Question 4 :
A vessel is in conical shape. If its volume is $33.264$ litres and height is $72cm$, the cost of repairing its CSA at Rs.$12$ sq.m is:

Question 5 :
The radius of the base and the height of a right circular cone are $7$ cm and $24$ cm respectively Find the total surface area of the cone

Question 6 :
The radius and height of a cone are each increased by $20%$, then the volume of the cone is increased by

Question 7 :
Calculate the volume of a sphere whose radius is $12$ m.

Question 8 :
What is the volume of the hemisphere with a diameter $5.5$ in. ?

Question 9 :
A cylinder of radius $5\ cm$ is inserted within a cylinder of radius $10\ cm$. The two cylinders have the same height of $20\ cm$. What is the volume of the region between the two cylinders?<br>

Question 10 :
The curved surface area of a hemisphere is $77 cm^2$. The radius of the hemisphere is :<br/>

Question 11 :
A metal cube of side $11 $ cm is completely submerged in water contained in a cylindrical vessel with diameter $28 $ cm. Find the rise in the level of water.

Question 12 :
Calculate the volume of a sphere whose radius is  $3 $cm.

Question 13 :
If the volume of cylinder is $12436\ cm^{3}$ and radius and height of cylinder are in the ratio $2 : 3$, find its height.

Question 14 :
A bottle of drink holds $250$ $\text{cm}^3$. How many litres will $24$ bottles hold?

Question 15 :
A cylinder vessel of height $24$ cm and diameter $40$ cm is full of water. Find the exact number of small cylindrical bottles, each of height $10 $ cm and diameter $8$ cm, which can be filled with this water.

Question 16 :
If the volume of a right circular cone of height $9\ cm$ is $48\pi \ {cm}^{3}$, find the diameter of its base.<br/>

Question 17 :
A 10 cm deep well with diameter 6 m is dug and the earth spread even to form a platform 22 cm x 10 cm X x cm The value of x is

Question 18 :
The radii of two sphere are in the ratio $3:4$. The ratio of their surface area is

Question 19 :
Find volume of thecube having each of their edges equal to $3$ cm.

Question 20 :
The base radius and height of a right circular solid cone are $12 cm$ and $24 cm$, respectively. It is melted and recast into spheres of diameter $6 cm$ each. Find the number of spheres so formed.

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