A solid metallic sphere of diameter 21cm is melted and recast into a number of smaller
cones, each of diameter 7cm and height 3 cm. Find the number of cones so formed.
Answers
Answer:
Step-by-step explanation:
Diameter of the sphere = 21 cm
So, radius of sphere = 21/2
Radius of sphere = 10.5 cm
Volume of sphere = 4/3πr³
= 4/3*22/7*10.5*10.5*10.5
Volume of sphere = 4851 cu cm
Diameter of cone = 3.5 cm
So, radius of cone = 3.5/2
Radius of cone = 1.75 cm
Volume of cone = 1/3πr²h
= 1/3*22/7*1.75*1.75*3
Volume of cone = 9.625 cu cm
Number cones formed = 4851/9.625
Number of cones formed = 504
Answer.
Read more on Brainly.in - https://brainly.in/question/1026081#readmore
Answer:
Secondary School Math 8+4 pts
A solid metallic sphere of diameter 21cm is melted and recast into a number of smaller cones, each of diameter 3.5cm and height 3cm. find the number of cones so formed.
by Shikavn0iksha 04.01.2017
ANSWER
Answers
The Brain
shikavn0iksha is waiting for your help.
Add your answer and earn points.
Golda
Golda ★ Brainly Teacher ★
Solution:-
Diameter of the sphere = 21 cm
So, radius of sphere = 21/2
Radius of sphere = 10.5 cm
Volume of sphere = 4/3�r³
= 4/3*22/7*10.5*10.5*10.5
Volume of sphere = 4851 cu cm
Diameter of cone = 3.5 cm
So, radius of cone = 3.5/2
Radius of cone = 1.75 cm
Volume of cone = 1/3πr²h
= 1/3*22/7*1.75*1.75*3
Volume of cone = 9.625 cu cm
Number cones formed = 4851/9.625
Number of cones formed = 504
hope it helps you pls mark me as brainlist answer I will help u whenever u need help I m a teacher and the answer is correct