ok here's the question:
The formula for the surface area of a sphere is
A = 4 x pi x radius squared
A square sticker of side x is placed on a ball of radius 3x. What is the surface area of the sphere not covered by the sticker? Write your answer in factored form.
if anyone can help me with this, thanks in advance.
2007-04-30 15:51:42 · 3 answers · asked by Evelyn 3 in Science & Mathematics ➔ Mathematics
the question is from a worksheet, thats exactly how it is written on the page.
2007-04-30 15:59:17 · update #1
This is calculus level stuff actually... since the square sticker can't be entirely flush with the sphere. Little parts fold together. =\. We'll assume it doesn't though, since that's what your teacher did.
Basically, find the surface area of the sphere, then subtract the surface area of the sticker.
According to your formula and the area of a square formula, you have areas:
36*PI*x^2 for the sphere, and
x^2 for the sticker.
Now for the second grade stuff! Yay subtraction!
36pix^2 - x^2 = x^2 * ( 36pi - 1 )
2007-04-30 16:00:27 · answer #1 · answered by atmtarzy 2 · 1⤊ 0⤋
From your sphere surface area formula, if r= 3x
A = 36 pi x^2
The sticker has an area of x^2. So the uncovered area = (36pi-1) x^2
Exactly what do you want factored?
2007-04-30 22:58:04 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
x^2(36pi-1)
2007-04-30 22:55:11 · answer #3 · answered by UnknownD 6 · 0⤊ 0⤋