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2 years ago

Find the area of this shape.

Mathematics

1 answer:

aniked [119]2 years ago

7 0

Answer:

Step-by-step explanation:

Bottom triangle

Area = b * height

b = 4 + 4 = 8 cm

h = 5.75

Area = 1/2 * 5.75 * 8

Area = 23 cm^2

Trapezoid

b1 = 8

b2 = 4

h = 2

Area = (b1 + b2)*h/ 2

Area = (8 + 4)*2 /2

Area = 12

Total area = 23 + 12

Total area = 35

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Blababa [14]

Answer: V = $100\pi$ $in^{3}$ (third option)

Given Information:

V = $\frac{1}{3}\pi r^{2} h$ <-- volume formula.
r = 5
y = 13
h = ?

To find h...

h, r, and y make a right triangle.
h and r are the two legs, y is the hyptenuse.
$h^{2} + r^{2} = y^{2}$
$h^{2} + 5^{2} = 13^{2}$
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$h^{2} = 144$
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Use formula:

V = $\frac{1}{3}\pi r^{2} h$
V = $\frac{1}{3} \pi (5)^{2} (12)$
V = $\frac{1}{3} \pi (25)(12)$
V = $\frac{1}{3} \pi (300)$
V = $100\pi$

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3 years ago

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Tasya [4]

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