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Test Details

Surface Area And Volume

Starts

Nov 27, 1:30 PM

Duration

60 minutes

Deadline

Nov 27, 2:30 PM

Maximum marks

30.0 marks

Question type

MCQ

Total questions

19 questions

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Abhishek mishra

we teach from class 8TH to class 12th in online as well as in offline mode. we provide the best faculty who teach interactively. we provide group as well as one-to-one classes. class 1 to 7th all subjects. class 8th to 10th maths science and social science. class 11th and 12 maths physics and chemistry. we understand your concern about fraud so we provide 15 days demo classes and monthly fee options so that whenever you feel our teaching methods are not satisfactory you can leave the class.

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Question Text

Question 1 :

A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted an recasted into a sphere then the radius of the sphere is

A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted an recasted into a sphere then the radius of the sphere is

Question 2 :

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

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

Question 3 :

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

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

Question 4 :

Two right circular cones of dimensions h=4.1, r=2.1 cm and h = 4.3 cm, r = 2.1 cm are melted to form a sphere of radius

Two right circular cones of dimensions h=4.1, r=2.1 cm and h = 4.3 cm, r = 2.1 cm are melted to form a sphere of radius

Question 5 :

The circumference of the base of a cylinder is $132$ cm and its height is $25$ cm The volume of the cylinder is

The circumference of the base of a cylinder is $132$ cm and its height is $25$ cm The volume of the cylinder is

Question 6 :

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

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 7 :

The ratio of the radii of two cones having equal height is $2:3$, then ratio of their volume is ____________.

The ratio of the radii of two cones having equal height is $2:3$, then ratio of their volume is ____________.

Question 8 :

A right triangle with its sides $9\space cm, 12\space cm$ and $15\space cm$ is revolved about the side $12\space cm$. Find the volume of the solid so formed.

A right triangle with its sides $9\space cm, 12\space cm$ and $15\space cm$ is revolved about the side $12\space cm$. Find the volume of the solid so formed.

Question 9 :

If the base area and the volume of a cone are numerically equal, then its height is 3 units.<br>

If the base area and the volume of a cone are numerically equal, then its height is 3 units.<br>

Question 10 :

The number of spherical bullets each $0.6$ cm in diameter be made out of a rectangular solid $9$ cm $\times$ $11$ cm $\times 12$ cm is __________.

The number of spherical bullets each $0.6$ cm in diameter be made out of a rectangular solid $9$ cm $\times$ $11$ cm $\times 12$ cm is __________.

Question 11 :

Find the volume of the cylinder. Its radius is $3$ ft and height is $6$ ft. (use $\displaystyle \pi =3.14$)

Find the volume of the cylinder. Its radius is $3$ ft and height is $6$ ft. (use $\displaystyle \pi =3.14$)

Question 12 :

A rectangular piece of paper is 100 cm x 44 cm A cylinder is formed by rolling the paper along its length then the volume of the cylinder so formed is

A rectangular piece of paper is 100 cm x 44 cm A cylinder is formed by rolling the paper along its length then the volume of the cylinder so formed is

Question 13 :

In a hot water heating system,there is a cylindrical pipe of lenght $28$ m and diameter $5$ cm .Find the total radiating surface in the system.

In a hot water heating system,there is a cylindrical pipe of lenght $28$ m and diameter $5$ cm .Find the total radiating surface in the system.

Question 14 :

The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio of $5 : 3$. Theratio of their volumes is

The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio of $5 : 3$. Theratio of their volumes is

Question 15 :

The radius and the height of a cone are in the ratio $4\,\colon\,3$. The area of the base is $154\;cm^2$. Find the area of the curved surface.

The radius and the height of a cone are in the ratio $4\,\colon\,3$. The area of the base is $154\;cm^2$. Find the area of the curved surface.

Question 16 :

If a solid cylindrical vessel of base radius 5 cm and height 10 cm be melted into a solid conical vessel of the same base and height, then the number of such cones is

If a solid cylindrical vessel of base radius 5 cm and height 10 cm be melted into a solid conical vessel of the same base and height, then the number of such cones is

Question 17 :

A soft drink can has a circular base with diameter $7 cm$ and height $12 cm$. A powder tin has a square base with side $7 cm$ and height $12 cm$. What is the difference in their capacities ?

A soft drink can has a circular base with diameter $7 cm$ and height $12 cm$. A powder tin has a square base with side $7 cm$ and height $12 cm$. What is the difference in their capacities ?

Question 18 :

A solid cylinder has a total surface area of $462$ $\displaystyle cm^{3}$ Its curved surface area is one-third of its total surface area . The volume of the cylinder is :$\displaystyle \left ( \pi =\frac{22}{7} \right )$

A solid cylinder has a total surface area of $462$ $\displaystyle cm^{3}$ Its curved surface area is one-third of its total surface area . The volume of the cylinder is :$\displaystyle \left ( \pi =\frac{22}{7} \right )$

Question 19 :

If the volume of a sphere in increases by $72.8 \%$, then its surface area increases by

If the volume of a sphere in increases by $72.8 \%$, then its surface area increases by

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