SOLUTION: Hi ther thanks again ur a great helppin hand .Here is the question- the volume of a sphere is given by V=4/3TTR^3where R= the radius of the sphere. If the radius is decreased by 2

Question 204694: Hi ther thanks again ur a great helppin hand .Here is the question-
the volume of a sphere is given by V=4/3TTR^3where R= the radius of the sphere. If the radius is decreased by 25%, find the change in the volume.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the volume of a sphere is given by V=4/3TTR^3where R= the radius of the sphere. If the radius is decreased by 25%, find the change in the volume.
.
Original volume:
V=(4/3)(pi)R^3
.
If radius = R - .25R = (3/4)R
V=(4/3)(pi)[(3/4)R]^3
V=(3/4)^3(4/3)(pi)R^3
V=(27/64)(4/3)(pi)R^3
.
Comparing the original to the one above, we find that the change in volume will be 27/64 of the original volume
RELATED QUESTIONS
The volume of a sphere with radius (r) is given by the function V(r)=4/3πr�. Find... (answered by Alan3354)

The volume of a sphere with radius r is given by the formula V =4/3Δ R squared to... (answered by ikleyn)

Here is another free question. Radius of a shpere; the raduis of a sphere is given by the (answered by mananth)

The volume of rubber in cubic centimeters is given by V = 4 / 3 3.14 * R ^ 3 - 4 / 3 *... (answered by Alan3354)

The volume V of a sphere with a radius r is given by the formula V=4/3 *pi*r^3 . Find... (answered by stanbon)

The volume of a sphere as a function of its radius is given by V(r)=4/3 pi r^3. The... (answered by josgarithmetic)

Radius of a sphere. The radius of a sphere is given by the formula r=(0.75/pi)^1/3. Where (answered by ankor@dixie-net.com)

radius of a sphere. the radius of a sphere is given by the forumua r=(0.75v/pi)^1/3.... (answered by jsmallt9)

Radius of a sphere. The radius of a sphere is given by the formula r= (0.75v)^1/3 (answered by Mathtut)