EduSahara™ Worksheet

EduSahara™ Assignment

Name : Conversion of Solid from One Shape to Another

Chapter : Surface Areas and Volumes

Grade : CBSE Grade X

License : Non Commercial Use

Question 1

The height of a right circular cone is 21.00 cm and the radius of its base is 10.50 cm. It is melted and recast into a right circular cone with base radius 7.35 cm. Find the new height

(i)

42.86 cm
(ii)

37.86 cm
(iii)

39.86 cm
(iv)

47.86 cm
(v)

45.86 cm

Question 2

A solid metallic cylinder of base radius 7.00 cm and height 8.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed

(i)

1416
(ii)

1176
(iii)

1216
(iv)

956
(v)

1026

Question 3

A hollow metallic cylindrical tube has an internal radius of 5.00 cm and height 10.00 cm. The thickness of the metal is 2 cm .The tube is melted to cast into a right circular cone of height 5.00 cm. Find the radius of the cone.

(i)

7.00 cm
(ii)

17.00 cm
(iii)

9.00 cm
(iv)

15.00 cm
(v)

12.00 cm

Question 4

An open cylindrical vessel of internal diameter 17.00 cm and height 29.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 8.50 cm and height 29.00 cm and filled with water. If the cone is replaced by another cone whose height is 14.50 cm and base radius is 2.97 cm, find the drop in the water level.

(i)

0.82 cm
(ii)

3.82 cm
(iii)

2.82 cm
(iv)

9.82 cm
(v)

1.82 cm

Question 5

The surface area of a solid metallic sphere is 9164.57 sq.cm. It is melted and recasted into solid right circular cones of radius 13.50 cm and height 18.90 cm . Find the number of complete cones that can be made

(i)

19
(ii)

27
(iii)

17
(iv)

25
(v)

22

Question 6

A hollow sphere of internal and external diameters 28.00 cm and 32.00 cm respectively is melted into a cone of base diameter 12.00 cm. Find the height of the cone

(i)

150.22 cm
(ii)

134.22 cm
(iii)

152.22 cm
(iv)

145.22 cm
(v)

177.22 cm

Question 7

A metallic sphere of radius 10.00 cm is melted to recast into the shape of a cylinder of radius 14.00 cm . Find the height of the cylinder.

(i)

7.80 cm
(ii)

5.80 cm
(iii)

6.80 cm
(iv)

4.80 cm
(v)

8.80 cm

Question 8

Metallic spheres of radii 13.00 cm, 5.00 cm, 6.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.

(i)

5
√

2538

cm
(ii)

3
√

2535

cm
(iii)

2538

cm
(iv)

3
√

2538

cm
(v)

3
√

2541

cm

Question 9

A cylinder with radius 1.00 cm and height 1.00 cm is melted to recast into a cone of height 0.06 cm. Find the radius of the cone.

(i)

8.00 cm
(ii)

5.00 cm
(iii)

6.00 cm
(iv)

9.00 cm
(v)

7.00 cm

Question 10

10.

A copper sphere having a radius of 4.00 cm is melted and drawn into a cylindrical wire of radius 0.90 cm. Calculate the length of the wire.

(i)

9.05 m
(ii)

1.05 m
(iii)

2.05 m
(iv)

0.05 m
(v)

3.05 m

Question 11

11.

A copper rod of diameter 1.60 cm and length 4.00 cm is drawn into a wire of length 64.00 m of uniform thickness. Find the thickness of the wire.

(i)

2
25

cm
(ii)

1
25

cm
(iii)

3
50

cm
(iv)

1
50

cm
(v)

0

cm

Assignment Key