MEDIUM
10th CBSE
IMPORTANT
Earn 100

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 423 cm and height 3 cm. Find the number of cones so formed.

50% studentsanswered this correctly

Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 21
The diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m find its diameter in decimal form.
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 22
A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base.
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 23
A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 24
A cone, a hemisphere, and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1:2:3.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 25
A hollow sphere of internal and external diameters 4 and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 26
The largest sphere is carved out of a cube of side 10.5 cm. If the volume of the sphere is rounded of to two decimal place is k cm3 then find k. (Take π=22/7)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 27
Find the weight of a hollow sphere of metal having internal and external diameters as 20 cm and 22 cm respectively. If 1 cm3 of metal weigh 21 g. (Take π=22/7)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>REVISION EXERCISE>Q 28
A solid sphere of the radius r cm is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm, its height 24 cm and thickness 2 cm, find the value of r.