Answer:
I think it would be rational
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ =
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.
R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14
a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³
b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂
</span>Vₐ = 3 × <span>
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
π r³
</span>Vₐ = 3 ×
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³
c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V =
![\frac{ V_{1}}{ V_{a} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20V_%7B1%7D%7D%7B%20V_%7Ba%7D%20%7D%20)
×100
V =
![\frac{3,449.3}{5,173.9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2C449.3%7D%7B5%2C173.9%7D%20)
×100
V = 0.6666 ×100
V = 66.66%
It’s b 32ft I think not sure):
Answer:
Mar 17, 2016 · Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces. 115 ounces. Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces. Use Mixed Units of Measurement in the U.S. System. In the following exercises, solve. Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces ...
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publish Year: 2015
Step-by-step explanation:
9514 1404 393
Answer:
(15/14)² = 225/196
Step-by-step explanation:
Evaluating the expressions inside parentheses, we can see they are the same, eliminating a bit of work.
![(\frac{5}{7}\times\frac{3}{2})^5\div(\frac{5}{2}\times\frac{3}{7})^3=(\frac{15}{14})^5\div(\frac{15}{14})^3=(\frac{15}{14})^{5-3}=\boxed{(\frac{15}{14})^2=\frac{225}{196}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B7%7D%5Ctimes%5Cfrac%7B3%7D%7B2%7D%29%5E5%5Cdiv%28%5Cfrac%7B5%7D%7B2%7D%5Ctimes%5Cfrac%7B3%7D%7B7%7D%29%5E3%3D%28%5Cfrac%7B15%7D%7B14%7D%29%5E5%5Cdiv%28%5Cfrac%7B15%7D%7B14%7D%29%5E3%3D%28%5Cfrac%7B15%7D%7B14%7D%29%5E%7B5-3%7D%3D%5Cboxed%7B%28%5Cfrac%7B15%7D%7B14%7D%29%5E2%3D%5Cfrac%7B225%7D%7B196%7D%7D)