The volume of a sphere is 3,000 m^3. What is the surface area of the sphere to the nearest square meter?

A.) 2,158 m^2
B.) 37,699 m^2
C.) 1,079 m^2
D.) 165 m^2

C

Step-by-step explanation:

V=4 /3πr3

3000=1 1/3*3.14*r*r*r

3000=4.18666667*r*r*r

716.560509=

Cube root the number

8.94851471456=r

TSA=4

TSA=4*3.14*8.94851471456*8.94851471456

TSA=1006.26

Since we used different numbers for pi and I rounded our answer will be different but the answer is C

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

3 is greater then both of those numbers