Test Details

Surface Areas and Volumes

MCQ

Jan 28, 8:00 PM

25 minutes

Jan 29, 8:25 PM

20.0 marks

MCQ

20 questions

Sonu classes

Professional

Class Details

Math

Physics

Chemistry

CLASS-IX (CBSE)

Math

Physics

Chemistry

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Question Text

Question 1 :
A cone of semi-vertical angle $\displaystyle \alpha $ is inscribed in a sphere of radius $2$ cm. The height of the cone is 

Question 2 :
The volume of a hemispherical ball is given by the$\displaystyle V=\frac{2}{3}\pi r^{3}$ where V is the volume and r is the radius Find the diameter of he hemisphere whose volume is$\displaystyle \frac{468512}{21}m^{3}$

Question 4 :
How many spherical bullets can be made out of a cube of lead whose edge measures $22$cm, each bullet being $2$cm in diameter?

Question 5 :
If the sum of the radii of two spheres is 2 km and their volumes are in the ratio 64:27 then the ratio of their radii is

Question 6 :
The ratio of the volumes of a cylinder and a cone having equal radii and equal heights is

Question 7 :
If the radius of the base of a right circular cone is $3r$ and its height is equal to the radius of the base, then its volume is:

Question 8 :
Three solid spheres of copper, whose radii are $3$ cm, $4$ cm and $5$ cm respestively are melted into a single solid sphere of radius R. The value of R is

Question 10 :
The number of balls of radius 1 cm that can be made from a solid sphere of radius 4 cm is <br>

Question 11 :
Area of canvas needed to erect a right conical tent of height 12 m and a circular base having circumference$\displaystyle 10\pi $ m is

Question 12 :
The surface area of a sphere is$\displaystyle 5544cm^{2}$. Its volume is

Question 13 :
The largest sphere is carved out of a cube of edge 14 cm Find the volume of the sphere

Question 14 :
What is the volume (in cu. cm) of a spherical shell with $8$ cm and $10$ cm as its internal and external diameters respectively?

Question 15 :
A cylindrical rod of iron whose height is four times its radius is melted and cast into the spherical balls of the same radius then the number of balls is

Question 16 :
If the volume in$ \displaystyle m ^{2} $ and the surface area in$ \displaystyle m ^{2} $ of a sphere are numerically equal then the radius of the sphere in m is

Question 17 :
If the radius height of a cone are in the ratio 5 : 12 and its volume is$ \displaystyle 314cm^{3} $ then slant height is

Question 18 :
If the height and radius of a cone are doubled then the volume of the cone becomes

Question 19 :
How many metres of plastic sheet, $5\;m$ wide, will be required to make a conical tent, the radius of whose base is $7\;m$ and height is $24\;m$ ?

Question 20 :
Two cones $A$ and $B$ have their base $r$ in the ratio of $4:3$ and their heights in the ratio $3:4$ of ratio of volume of cone $A$ to that of cone.

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