Test Details

Surface Area And Valume

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Feb 03, 8:00 PM

45 minutes

Feb 04, 8:00 PM

18.0 marks

MCQ

13 questions

Abhi S

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Question Text

Question 1 :
If the radius and slant height of a cone are $20 \ cm$ and $29 \ cm$ respectively. Find its volume.

Question 2 :
A conical cup $18$ cm high has a circular base of diameter $14$ cm The cup is full of water which is now poured into a cylindrical vessel of circular base whose diameter is $10$ cm What will be the height of water in the vessel

Question 3 :
The surface area of a sphere is$\displaystyle 5544cm^{2}$. Its volume is

Question 4 :
A cylinder and a cone have the same height and same radius of the base. The ratio of the volumes of the cylinder to that of the cone is ________.

Question 5 :
The height of a cone is $9 cm$ and the radius of the base is $7 cm$. The cone is melted and a cuboid is formed. The length of the base of the cuboid is $11 cm$ and breadth is $6 cm$. Find the height of the cuboid.<br>

Question 6 :
If the circumference of the inner edge of a hemispherical bowl is$\displaystyle \frac{132}{7}$cm then what is the capacity?

Question 7 :
The area of canvas required to construct a cone of height 24 m and base radius 7 m is

Question 8 :
Find the volume and surface area of a sphere of radius $4.2$ cm. $\displaystyle \left [ \pi =\frac{22}{7} \right ]$<br/>

Question 9 :
If the diameter of a sphere is doubled, the surface area of the resultant sphere becomes $x$ times that of the original one, find $x$

Question 10 :
The volume of two spheres is in the ratio $64:27$ and the sum of their radii is $7\,cm$. The difference in their total surface areas is

Question 11 :
A solid right circular wax cone of height 12 cm and radius 4 cm is melted and smaller wax cones of height 4 cm and radius 2 cm are made The number of smaller cones will be <br>

Question 12 :
A right circular cone is $3.6\ cm$ high and radius of its base is $1.6\ cm$. It is melted and recast into a right circular cone with radius of its base as $1.2\ cm$. Find its height.

Question 13 :
A tank 10 m X 5 m X 6 m is full of water The amount of water taken out to reduce out to reduce the water level by one metre is

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