Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = 
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Perimeter = Side + Side + Side
Side 1 = x
Side 2 = x + 7
Side 3 = 2x-7
Plug into the equation:
84 = x + (x + 7) + (2x-7)
84 = x + x + 7 + 2x - 7
Combine like terms:
84 = 4x
Divide by 4 and solve for x:
21 = x
Side 1 = 21
Side 2 = 28
21+7=28
Side 3 = 35
21(2) - 7 = 42 - 7 = 35
You have to add the last number to itself. So the next number would be 32 because 16 + 16 equals 32. Then you add 32 + 32 so the next number would be 64
1, 2, 4, 8, 16, 32, 64, 128
-c +4d
Step-by-step explanation:
Group like terms and simplify
