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olchik [2.2K]
3 years ago
11

What is the value of SM

Mathematics
2 answers:
kkurt [141]3 years ago
7 0
The answer is 20. I worked with proportions (making 9/12=15/x)
Murljashka [212]3 years ago
7 0

9/15 = 12/x =

x = 180/9 = 20

answer is 20

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I need to be walked through this please.
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4 years ago
PRESLEY
posledela

The volume of the fountain cup in gallons is 4775.2 gallons

<h3>Volume of a frustum</h3>

Since the fountain cup is in the shape of a frustum, its volume is given by

V = πh/3(r² + rr' + r'²) where

  • h = height of cup = 8 feet,
  • r = radius of base of cup = 4 feet and
  • r' = radius of top of cup = 6 feet.

So, substituting the values of the variables into th equation, we have

V = πh/3(r² + rr' + r'²)

V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]

V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]

V = π × 8 ft/3 × (76 ft²)

V = 608π ft³/3

V = 1910.088 ft³/3

V = 636.69 ft³

V ≅ 636.7 ft³

<h3>Volume of the fountain cup in gallons</h3>

Since there are 7.5 gallons per cubic foot,

The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons

So, the volume of the fountain cup in gallons is 4775.2 gallons

Learn more about volume of a frustum here:

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2 years ago
You are dealt one card from 52 card deck. Find the possibility that you are dealt a heart or a picture card
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Since we have 3 heart and picture (at the same time) card then

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finally,

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