Test Details

Surface Areas and Volumes

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Jan 20, 10:10 AM

30 minutes

Jan 20, 10:40 AM

15.0 marks

MCQ

15 questions

SURYA KANT SHARMA

...

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Maths

Class10th

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Question Text

Question 1 :
A right circular cone is 84 cm high The radius of the base is 350 m Find the curved surface area

Question 2 :
The perimeter of the ends of a frustum of a cone are $44cm$ and $8.4\pi cm$. If the depth is $14cm$, then find its volume.

Question 3 :
Find the volume of the frustum cone whose base and topradius is 11 in and 6 in respectively. The height of the cone is 36 in. (Use $\pi$= 3.14).

Question 4 :
A solid sphere of radius $6\;cm$ is melted and recast into small spherical balls each of diameter $1.2\;cm$. Find the number of balls, thus obtained.

Question 5 :
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 6 :
If a solid of one shape is converted to another, then the volume of the new solid<br>

Question 7 :
A right circular cylinder and a right circular cone both having the same radius and height then the ratio of their volumes is

Question 8 :
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 9 :
Find the volume of the frustum cone whose base and top radius is 12.4 ft and 4.5 ft respectively. The height of the cone is 1,200 ft. (Use $\pi$= 3).

Question 10 :
The total surface area of a frustum of cone is calculated by using the formula _________.

Question 11 :
The base and top diameter of a cone is 1.2 mm and 0.5 mmrespectively. The height of the cone is 24 mm. What is the volume of frustum ofa cone? (Use $\pi$= 3).

Question 12 :
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 13 :
The shape formed by rotating a right triangle about its height is

Question 14 :
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 15 :
A friction clutch is in the form of a frustum of  cone. The radius of the ends bring $16$ cm and $10$ cm. Find its curved surface area. The slant height of the friction clutch is $12$ cm.

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