Assignment Details

Surface Areas and Volumes

1474 minutes

Jan 27, 4:26 PM

30.0 marks

MCQ

14 questions

Ramesh sir

Class Details

Mathematics

MATHEMATICS

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Question Text

Question 1 :
A cylindrical box of radius 5 cm contains 10 solid spherical balls each of radius 5 cm. If the topmost ball touches the upper cover of the box, then the volume of the empty space in the box is :

Question 2 :
A conical flask of base radius r and height h is full of milk. The milk is now poured into acylindrical flask of radius 2r. What is the height to which the milk will rise in the flask?

Question 3 :
If a solid of one shape is converted to another, then the volume of the new solid

Question 4 :
A metallic sphere of radius $10.5 cm$ is meltedand then recast into small cones each of radius$3.5 cm$and height$3 cm$. The number of suchcones is

Question 5 :
How many cubes of $10\ cm$ edge can be put in a cubical box of $1\ m$ edge?

Question 6 :
A right circular cone is cut off at the middle of its height and parallel to the base. Call the smaller cone so formed as A and the remaining part as B, then

Question 7 :
Curved surface area of a cone is $308{cm}^{2}$ and its slant height is $14cm$. Findthe radius of the base and total surface area of the cone.

Question 8 :
The total surface area of frustum cone is 1,500 $ft^2$. The radius of a top cone is 10 and the bottom cone is 12 ft. What is thecurved surface area of a frustum cone? (Use $\pi$ = 3).

Question 9 :
The surface area of a frustum cone is 330 in2. The larger and smaller radius of the cone is 2.2 and 1in. Find its slant height. (Use $\pi$ = 3.14)

Question 10 :
The curved surface area of frustum cone is 400 $m^2$The diameter of a cone is 0.5 and 2 m.Find the slant height. (Use $\pi$ = 3.14).

Question 11 :
A tent of height16 m is in the form of right circular cylinder with radius of base 2 m andheight 6 m, surmounted by a right circular cone of the same base. Find the costof the canvas of the tent at the rate of Rs. 100 per m.

Question 12 :
A right circular cone and a sphere have equal volumes. If the radius of the base of the cone is $2x$ and the radius of the sphere is $3x$, find the height of the cone in terms of $x$.

Question 13 :
From a right circular cylinder of radius $10$ cm and height $21$ cm a right circular cone of same base radius is removed. If the volume of the remaining portion is $4400\ \text{cm}^{3}$, then the height of the cone removed is

Question 14 :
A child reshapes a cone made up of China clay of height $24 cm$ and radius of base $6 cm$ into a sphere. The radius of the sphere is:

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