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katrin2010 [14]
3 years ago
12

Brainleist for answering

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

50.95

Step-by-step explanation:

is the right answer

tiny-mole [99]3 years ago
6 0

Answer:

=50.29

Step-by-step explanation:

The perimeter of a circle is also called the circumference

C = 2 * pi *r

25 1/7 = 2 * 22/7 *r

Rewriting as an improper fraction on the left

(25*7 +1)/7 = 44/7 *r

176/7 = 44/7 r

Multiplying each side by 7/44

7/44 *176/7 = 7/44 *44/7 r

4 = r

We can now find the area by

A = pi r^2

A = (22/7) * 4^2

A = 22/7 * 16

  =352/7

Rounding to the nearest hundredth

  =50.29

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Answer:

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6 0
3 years ago
Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

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