Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
1 answer:
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Answer:
280.6
Step-by-step explanation:
<u>find the length of each side:</u>
you're only given h = 9 m
the formula for h is , where a is a side length of the hexagon
plug h in:
a ≈ 10.392 m
<u>now find the area of a triangle:</u>
1/2 (10.392)(9) = 46.764
multiply that by 6 and you get 280.584 ≈ 280.6
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6:
<h3>Calculate the volume of the sphere</h3>
To start finding the volume of this sphere, we get the following data:
- π = 3
- r = 2 ft²
To find the volume we apply the following formula:
, where
- v = volume
- π = pi
- r = radius
We substitute our data in the formula and solve:
Substituting values into the equation
Calculate exponent cubed
Multiplying
Therefore, the volume of the sphere is 32 ft³.