Test Details

Surface Areas and Volumes

Feb 16, 6:00 PM

60 minutes

Feb 16, 7:00 PM

19.0 marks

MCQ

10 questions

Mahmoodul Hassan

I am here to change lives.

Class Details

Mathematics

Class 10

Mathematics

In this classroom we will cover the entire syllabus of Mathematics as prescribed by CBSE for standard 10. There would be weekly doubt clearing sessions along with biweekly assignments, periodic tests and many more.

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Question Text

Question 1 :
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 2 :
Given that the volume of a cone is$\displaystyle 2355cm^{3}$ and the area of its base is$\displaystyle 314cm^{2}$ Its height is

Question 3 :
The total surface area of a metallic hemisphere is $1848\ cm^{2}$. The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its height is

Question 4 :
During conversion of a solid from one shape to another, the volume of the new shape will<br>

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 :
The slant height of a right circular cone is $10\,m$ and its height is $8\,m$. Find the area of its curved surface.

Question 7 :
A tent of 20 mm in radius and 14 mm in height has to be made. If the cost of canvas is Rs. 14 per $mm^2$, total cost of canvas used to make the tent is Rs. ____________. ( Use $\pi$ = 22/7)

Question 8 :
A right circular cone has for its base a circle having the same radius as a given sphere. The volume of the cone is one-half that of the sphere. The ratio of the altitude of the cone to the radius of its base is

Question 9 :
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere with same radius. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. (Take $\pi$ = 22/7)

Question 10 :
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 $x$.

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