Test Details

Surface Areas and Volumes

Jan 21, 1:10 PM

40 minutes

Jan 21, 1:50 PM

31.0 marks

MCQ

14 questions

Anant Ratan

for 6 to 12 standred students

Class Details

Maths Physics Chemistry

Class :- 8 ,9 and 10

Maths Physics Chemistry

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Question Text

Question 1 :
The base and top diameter of a cone is 1.2 mm and 0.5 mmrespectively. The height of the cone is 24 mm. What is the volume of frustum ofa cone? (Use $\pi$= 3).

Question 2 :
A friction clutch is in the form of a frustum of  cone. The radius of the ends bring $16$ cm and $10$ cm. Find its curved surface area. The slant height of the friction clutch is $12$ cm.

Question 3 :
A right circular cylinder and a right circular cone both having the same radius and height then the ratio of their volumes is

Question 4 :
Assertion: No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541 Reason: Number of balls $=$(Volume of one ball)/(Volume of lead)

Question 5 :
<p>The slant heightof a frustum of a flower pot is 2 mm and the perimeters of its circular endsare 12 mm and 4 mm. Find the curved surface area of the flower pot.</p>

Question 6 :
<p>A bucket is inthe form of a frustum of a cone. The curved surface area of the bucket is 120 $ \pi {cm}^2$. The top and bottom radius of the bucket is 8 and 4 cm. What is the slantheight ?</p>

Question 7 :
The curved surface area of a frustum cone is 250 m$^2$. The larger circle area is 120 m$^2$. The total surface area is 1000 m$^2$. Find the smaller circle area of a cone.

Question 8 :
A sphere of radius $r$ is inscribed inside a cube. The volume enclosed between the cube and the sphere is :

Question 9 :
Find the slant height of a frustum cone whosetop radius is 14 in and bottom radius is 2 in. The height of the cone is 9 in.

Question 10 :
A bucket of height $16\ cm$ made up of metal sheet is in the form of frustum of a right circular cone with radii of its lower and upper ends as $3\ cm$ and $15\ cm$ respectively. What is the slant height of the bucket?

Question 11 :
A cube whose volume is $1/8$ cubic centimeter is placed on top of a cube whose volume is $1{cm}^{3}$. The two cubes are then placed on top of a third cube whose volume is $8{Cm}^{3}$. The height of the stacked cubes is

Question 12 :
A dish in the shape of a frustum of a cone has a height of $6$cm. Its top and its bottom have radii of $24$cm and $16$cm respectively. Find its curved surface area. ( in $\displaystyle cm^{2}$)

Question 13 :
If the radii of the circular ends of a bucket $24$ cm high are $5$ cm and $15$ cm respectively, find the inner surface area of the bucket (i.e., the area of the metal sheet required to make the bucket) (Take $\pi = 3.14$)

Question 14 :
A bouquet is in the shape of a frustum of a coneof height 15 cm. The radii of its two circular ends are 4 cm and 2 cm. Find thevolume of the bouquet.

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