Assignment Details

Surface Areas and Volumes

1441 minutes

Mar 30, 6:59 PM

36.0 marks

MCQ

18 questions

Gopaal K Gorai

A B.Tech Mechanical Engineering Student. Having 2+ years of teaching experience. Having speciality in Physics due to engineering background but can also teach Chemistry and Mathematics for the students of class 9th and 10th.Students of Class-12th can join me for Physics Classes.

Class Details

Maths

Class-10th Mathematics

Maths

In this Classroom, we will cover the entire Syllabus of CBSE Clasa-10th Mathematics as per the revised syllabus of CBSE for Academic Year 2021-22. There will be live interactive classes, weekly assignments will be given, there will be doubt clearing sessions and also a proper guidance will be provided to each and every student for their better preparation, so that they can understand each and every concepts in a very easy manner and score a very good marks in their respective subjects.

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Question Text

Question 1 :
A sphere and cube have equal surface areas. The ratio of their volumes is

Question 2 :
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

Question 3 :
If a right circular cone and a cylinder have equal circles as their base and have equal heights, then the ratio of their volumes is 2 : 3.

Question 4 :
A right circular cone is 84 cm high The radius of the base is 350 m Find the curved surface area

Question 5 :
A cone of height $7$ cm. and base radius $3$ cm. is carved from a rectangular block of wood of dimensions $10 cm. \times 5 cm. \times 2$ cm. The percentage of wood wasted is

Question 6 :
Two cubes have their volumes in the ratio $1:27$. The ratio of their surface areas is

Question 7 :
If the radii of the circular ends of a conical glass are $15$ and $9$ cm whose slant height is 35 cm. Find the surface area of the glass? (Use $\pi $ = $3$)

Question 8 :
A metallic solid cone is melted and cast into a cylinder of the same base as that of the cone. If the height of the cylinder is $7\;cm$, what was the height of the cone?

Question 9 :
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 10 :
The maximum length of a pencil that can be kept in rectangular box of dimensions $12\ cm\times 9\ cm \times 8\ cm$, is

Question 11 :
A conical vessel of height $10$ $mts$ and radius $5\ mts$. is being filled with water at uniform rate of $3/2$ $ cu.mts/min$. How long will it take to fill the vessel?

Question 12 :
The radius and height of a right circular cone are in the ratio of 5 : 12. If its volume is $ 314\mathrm{cm}^{3} $ its slant height is

Question 13 :
A sphere of radius $r$ is inscribed inside a cube. The volume enclosed between the cube and the sphere is :

Question 14 :
A cylindrical powder tin of 15 cm of height and14 cm of radius is filled with water. The powder tin is emptied to make aconical heap of water on the ground. If the height of the conical heap is 42cm, what is approximate value of the radius? (Use $\pi$ = 3).

Question 15 :
A spherical ball of lead $5 cm$ in diameter is melted and recast into three spherical balls. The diameters of two of these balls are $2 cm$ and $2(14.5)^{1/3}\, cm$. Find the diameter of the third ball.

Question 16 :
A solid is in the form of a cone mounted on a right circular cylinder both having same radii of their bases. Base of the cone is placed on the top base of the cylinder. If the radius of the base and height of the cone be 4 cm and 7 cm, respectively, and the height of the cylindrical part of the solid is 3.5 cm, the volume of the solid is equal to

Question 17 :
The ratio of radii of two cylinders is $1 : \sqrt {3}$ and heights are in the ratio $2 : 3$. The ratio of volumes is

Question 18 :
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

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