SOLUTION: The surface of a balloon varies directly as the square of its radius. The area is {{{314 cm^2}}} when the radius is 5 cm. What is the area when the radius is 10 cm?

Question 235351: The surface of a balloon varies directly as the square of its radius. The area is when the radius is 5 cm. What is the area when the radius is 10 cm?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The surface of a balloon varies directly as the square of its radius.
The area is 314 sq/cm when the radius is 5 cm.
What is the area when the radius is 10 cm?
:
If it varies directly as the square, when the radius is doubled the surface area is times 4
4 * 314 = 1256 sq/cm
;
:
You can check this using the surface area formula
S.A = 4*pi*10^2 = 1256.6
RELATED QUESTIONS
The surface area of a ballon varies directly as the square of its radius. The Area is 325 (answered by mananth)

A spherical balloons is released from rest and expands as it rises After rising for t... (answered by greenestamps)

The area of the curved surface of a right circular cylinder varies jointly as its radius (answered by josgarithmetic)

A spherical balloon is being inflated. Estimate the rate at which its surface area is... (answered by Fombitz)

The surface area of a sphere varies directly as the square of a radius. a. if the... (answered by ewatrrr)

The surface area of a sphere varies directly as the square of the radius. If the surface (answered by Theo,Alan3354)

A spherical balloon is being inflated. Estimate the rate at which its surface area is... (answered by Edwin McCravy)

please help me sove this problem !! the surface area of sphere is 314 cm . find the... (answered by Alan3354)

what is the radius of a circular pool if its area of 314 square... (answered by tutor_paul)