Answer:
radius = 6 cm
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ← r is the radius
Given V = 288π, then
πr³ = 288π
Multiply both sides by 3 to clear the fraction
4πr³ = 864π ( divide both sides by 4π )
r³ = 216 ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Thus the radius of the sphere is 6 cm
<T = <N
<R = <L
RI = LG
answer is B.
AAS
Answer:
the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the rope.
7 foot
Step-by-step explanation:
Here is the full question :
A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches
Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot
What is the diameter of the tree trunk
the circumference of a circle = πD
π = 22/ 7
D = diameter
we need to convert 21 feet 8 inches to foot
1 inch = 0.0833333 foot
8 x 0.0833333 = 0.667
0.667 + 21 = 21.667 foot
21.667 = 22/7 x diameter
diameter = 21.667 x 7/22 = 6.89 foot
The nearest half foot of 6.89 is 7.
7 foot
Answer:
Step-by-step explanation:
givens
x1 = 3
x2 = 4
y1 = 4
y2 = 7
formula
d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )
solution
d = sqrt( (3 - 4)^2 + (4 - 7)^2 )
d = sqrt ( 1 + 3^2)
d = sqrt( 1 + 9)
d = sqrt( 10)
