the volume of a sphere is found using the formula v=4/3πr^3 where r is the radius. what is the volume if the radius is 3x^3

a. 36πx^9

b. 36πx^6

c. 12πx^9

d. 12πx^6

Question

the volume of a sphere is found using the formula v=4/3πr^3 where r is the radius. what is the volume if the radius is 3x^3

a. 36πx^9

b. 36πx^6

c. 12πx^9

d. 12πx^6

kamibug · Answer

We just gotta plug in the value of r into the formula and simplify. :)
$$V = \frac{ 4 }{ 3 }\left( 3x ^{3} \right)^{3}$$

kamibug · Answer

$$V = \frac{ 4 }{ 3 }\left( 9x ^{9} \right)$$

kamibug · Answer

Oops, I just noticed I've been missing the pi sign, Lol. :P Let's include it this time! xD 
$$V = 12\pi x^9$$

anonymous · Answer

yeah im lost ahaha

kamibug · Answer

Well first we put 3x^3 where r is in the formula because we are told that r = 3x^3. Then we had to cube the value 3x^3 because the formula asks for r^3. And so when you raise an exponent to the power of another exponent, you need to multiply them. The two exponents are 3 so 3*3=9. And the coefficient of x also had to be cubed since it was in the parenthesis. 3^3=9. So we got 9x^9. And so the formula turned into 4/3pi9x^9. The last step was to multiply 4/3 and 9. 4/3 * 9 = 12. So that left us with 12pix^9.

kamibug · Answer

Does this help somehow? I know it's super long Lol sorry. :)

anonymous · Answer

that makes sense

kamibug · Answer

Okiedokey, so you've got your answer now! ~~~(^_^)~~~

anonymous · Answer

thanks (: