Test Details

Surface Areas and Volumes

Maths

Jan 15, 7:00 PM

75 minutes

Jan 15, 8:15 PM

30.0 marks

MCQ

25 questions

Shahid Hussain

Adaptive and blank

Class Details

Science &Maths

Class 9

Science &Maths

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Question Text

Question 2 :
A right circular cone and a cylinder have a circle of unit radius as base and their heights are equal to the radius itself and a hemisphere has the same radius then their volumes are proportional respectively to

Question 3 :
The volume of a sphere is increasing at the rate of 1200c.cm/sec.The rate of increase in its surface area when the radius is 10 cm is.

Question 4 :
If volume and surface area of a sphere are numerically equal then it's radius is

Question 5 :
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 6 :
Find the volume of the right circular cone with radius $6\ cm$, height $7cm$

Question 7 :
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 8 :
The number of balls of radius $1$ cm that are made from a solid sphere of radius $4$ cm

Question 9 :
If the height of a cone is doubled then its volume is increased by

Question 10 :
The base and top radius of a truncated cone is 10 cmand 3.5 cm respectively. The height of the cone is 270 cm. What is the volumeof a truncated cone? (Use $\pi$= 3).

Question 11 :
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 12 :
Three spheres of radii 6 cm, 8 cm and 10 cm are melted to form a sphere of radius

Question 13 :
What is the number of spherical balls of 2.5 mm diameter that can be obtained by melting a semicircular disc of 8 cm diameter and 2 cm thickness?

Question 14 :
If the surface area of a sphere is$ \displaystyle 324\pi cm^{2} $ then its volume is

Question 15 :
The largest sphere is cut off from a cube of side $5$cm. The volume of the sphere will be __________.

Question 16 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is

Question 17 :
If the radius of a sphere is doubled what is the ratio of the volume of the first sphere to that of the second?

Question 19 :
Two cones have their heights in the ratio 1:3 and their radii in the ratio 3:1 Find the ratio of their volumes

Question 20 :
Given a sphere with the radius 7 cm. Find the volume of this sphere. Take $\pi$ as $3.14$.

Question 21 :
If the volume and the surface area of a solid sphere are numerically equal, then its radius is ____<br/>

Question 22 :
A hemispherical bowl has internal radius of $3 cm$ then the capacity of the bowl is c.c. is <br/>

Question 23 :
The diameter of a sphere is decreased by $25\%$. By what percent does its curved surface area decrease

Question 24 :
What is the volume of the hemisphere with a diameter $5.5$ in. ?

Question 25 :
How many balls, each of radius $1$ cm, can be made from a solid sphere of lead of radius $8$ cm?

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