Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
<span>So V=(4/3) * 3.14 * 13^3 =
9198 cubic inches</span>
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the
ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
Answer:
Yes, they are equivalent.
6(7 - 2)
6(5)
Check:
7*6 = 42
2*6 = 12
42-12 = 30 = 6(5) :)
Answer:
c = √85
c = 9.2
Step-by-step explanation:
a² + b² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
c = √85
c = 9.2
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.