vanneSmarifalcep
vanneSmarifalcep vanneSmarifalcep
  • 20-09-2016
  • Mathematics
contestada

Given a sphere of diameter, d. What is the percentage increase in its volume when surface area increases by 21%?

Respuesta :

Hussain514 Hussain514
  • 24-09-2016
S1 = Pi * D1^2
solve for D1
 D1 = sqrt( S1 / pi ) S2 = Pi * D2^2
 S2 = 1.21*S1
S2= 1.21 * Pi * D1^2
 1.21 * Pi * D1^2=
Pi * D2^2
 D2 D2 = sqrt( 1.21 * D1^2)
  Now V2 = pi/6 * D2^3. V2
 = pi/6 ( sqrt(1.21*D1^2))^3 V2
= pi/6 * (1.21 * D1^2)^(3/2) V2
= pi/6 * 1.21^(3/2) * D1 ^3 = (pi/6 * D1^3) * 1.21^3/2 = V1 * 1.21 ^(3/2)
=43% approximately
Answer Link

Otras preguntas

6ac+bd-3bc-2ad help​
Which animal is in competition with the FROG? * A partial wetland food web is shown. R Hawks Shrews Snakes Frogs
Find the value of x
The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Wa
how to solve this plss frac{(\sqrt{(3)})^{5}}{((\sqrt{(3)})^{-4})}=(\sqrt{(3)})^{(2k+1)​
you should be prepaid for a train to appear at a railroad crossing ___________.
A 9 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round t
Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there?​
Your teacher has been dicussing how students can keep healthy during examination period. She has asked you to write an essay on this topic in your essay. You sh
what are the factors that led to the rise of civilisation with reference to Egyptian civilisation in Africa?​