Answer:
The radius is 4.097396898
Step-by-step explanation:
A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume
V = 1/2 ( 4/3 pi r^3)
= 2/3 pi r^3
144 = 2/3 pi r^3
Multiply each side by 3/2
3/2 *144 = 3/2 * 2/3 pi r^3
216 = pi r^3
Divide each side by pi
216/ pi = pi r^3/pi
68.78980892 = r^3
Take the cube root of each side
(68.78980892 )^1/3= (r^3)^1/3
4.097396898 = r
The radius is 4.097396898
Answer:
= 5/3 * pi inches
or approximately 5.235987756 inches
Step-by-step explanation:
The formula for arc length = r * theta where theta is in radians
arc length = 10 * pi/6
= 10/6 * pi
= 5/3 * pi
or approximately 5.235987756 inches
Answer:
1.25.
Step-by-step explanation:
The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.
Sum to infinity = a1 / (1 - r)
= 1 / (1 - 1/5)
= 1 / 4/5
= 5/4
= 1.25 (answer)
.17 because there is a zero behind the 7! .170 and .165. .17 is bigger
