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Anastaziya [24]
3 years ago
14

Please break this down for me!!!

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer: volume = 4275π m³

Step-by-step explanation:

The composite figure shown in the diagram is made up of a hemisphere at the top and a cone at the bottom.

Therefore,

Volume = volume of hemisphere + volume of cone.

The formula for determining the volume of a hemisphere is expressed as

Volume = 2/3πr³

Diameter of hemisphere = 30m

Radius = diameter/2 = 30/2 = 15m

Volume of hemisphere = 2/3 × π × 15³ = 2250πm³

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

h = height of cone = 33m

r = 15 m

Volume = 1/3 × π × 15² × 33

Volume = 2475π m³

Volume of the composite figure is

2250π + 2475π = 4275π m³

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3 years ago
PLEASE HELP!!
artcher [175]

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

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2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

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PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

4(3.25) = 13

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