Height of a cone-shaped attic:
h = 18 ft,
d = 18 ft,
r = 18: 2 = 9 ft
V = r² π h / 3 =
= 9² π · 18 / 3 = 81 π · 6 = 486 π ft³
Answer:
The volume of the space in the attic is 486 π ft³.
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
Similar figures may not be congruent but congruent figures are always similar
