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Scorpion4ik [409]
3 years ago
14

The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?

Mathematics
1 answer:
Helga [31]3 years ago
5 0

Answer:

1.03 inches

Step-by-step explanation:

Volume of a come = 1/3πr²h

If the height of a right cone is 3 inches shorter than the radius, then;

h = r - 3

Substitute

V = 1/3πr²(r-3)

Given that V = 17in^3

17 = 1/3πr²(r-3)

17*3 = 3.14r²(r-3)

51/3.14 = r²(r-3)

16.242 = r²(r-3)

r² = 16.242

r = √16.242

r = 4.03

Since h = r - 3

h = 4.03 - 3

h = 1.03 inches

hence the height is 1.03 inches

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#7
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4 0
3 years ago
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tino4ka555 [31]

Answer:

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Step-by-step explanation:

Assuming you want to simplify it.

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After multiplication: 24ab+48ac-56ac

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8 0
2 years ago
A rectangle measures 16 cm by 4 cm. It has the same area as a square. Find the perimeter of the square.
Elis [28]

ok ... in this situation... we need to find the area of the rectangle first as it is equal to the area of square .

so .... area of rectangle = l×b= 16×4

= 64 ∴area of square = 64

area of square = s×s

∴to find one side of the square ... we need to find the root of 64 = 8

∴one side = 8

now : perimeter of square : 4 × sides = 4 × 8 = 32 ║


7 0
3 years ago
In ABC triangle AC=8, AB=5 and BC=6, AK=1. Find BK
In-s [12.5K]

Answer:

Bk=100

I' hope it's helpful for you

4 0
2 years ago
What is the rate of change for this table​
Verizon [17]

Answer:

m=-2

Step-by-step explanation:

We will use the formula for rate of change (slope).

m=(y2-y1)/(x2-x1)

Pick any pair of x and y values.

(10-12)/(2-1)

Simplify.

m=-2

HTH :)

5 0
2 years ago
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