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lions [1.4K]
3 years ago
10

PLEASE HELP!!! Name the postulate or theorem that you can use to prove.....

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

HL theorem

Step-by-step explanation:

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The volume of a hemisphere is 144 pi. Find the radius and total surface area.
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Formula of the Volume of a hemisphere:
V = \frac{2}{3}\pir³
144\pi = \frac{2}{3}\pir³
Multiply by 3 to cancel fraction in the right side
144\pi × 3 = 2\pi r³
432 \pi = 2\pir³
Divide by 2\pi on either sides to isolate r³
\frac{432 \pi }{2 \pi } = \frac{2 \pi }{2 \pi }r³
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Take cube root to find the radius
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The formula of the surface area of a hemisphere is:
S.A = 2\pir² + \pir²
       = 2\pi(6)² + \pi(6)²
       =2\pi × 36 + 36\pi
       = 72\pi + 36\pi
       = 108\pi units²  (in terms of \pi)
       ≈ 339.12 units²

Surface area = 108\pi units
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