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Nata [24]
3 years ago
15

If the sphere shown above has a radius of 10 units then what is the approximate volume of the sphere

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer: 4188.79

Step-by-step explanation:

Volume of the sphere is calculated by

V=4/3πr3

Where π is a constant, approximately 3.142

r = radius

From the question, given r = 10

Volume = 4/3 × 3.142 x 10 ^3

= 1.33333 x 3.142 x 1000

Volume =4188.79

Sophie [7]3 years ago
3 0

Answer: 4,188.79 u^3

Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3

10^3 = 1000

(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)

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What is the equation of a circle with a center at (0, 0) and a radius of 4.5?
Nesterboy [21]
If the center of the cercle is (0,0) then the standard equation becomes"

x²+y²=(4.5)²
7 0
3 years ago
Please help me out :P
Veseljchak [2.6K]

cos θ = \frac{-4\sqrt{65} }{65}, sin θ = \frac{-7\sqrt{65} }{65}, cot  θ  = 4/7, sec  θ = \frac{-\sqrt{65} }{4}, cosec  θ  = \frac{-\sqrt{65} }{7}

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = \sqrt{7^{2} + 4^{2} } = \sqrt{49+16} = \sqrt{65}

sin θ = opposite/ hyp = \frac{7}{\sqrt{65} }

Rationalize, \frac{7}{\sqrt{65} } x \frac{\sqrt{65} }{\sqrt{65} } = \frac{7\sqrt{65} }{65}

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - \frac{7\sqrt{65} }{65}

cos   θ  = adj/hyp = \frac{4}{\sqrt{65} }

By rationalizing and knowing that cos  θ  is negative, cos θ  = -\frac{-4\sqrt{65} }{65}

cot θ  = 1/tan θ  = 1/7/4 = 4/7

sec θ  = 1/cos θ  = 1/\frac{4}{\sqrt{65} } = -\frac{-\sqrt{65} }{4}

cosec θ  = 1/sin θ  = 1/\frac{\sqrt{65} }{7} = \frac{-\sqrt{65} }{7}

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0
1 year ago
Can you please help me <br> Step by step as well for brainliest
romanna [79]

Answer:

Step-by-step explanation:

42:7=ED:24

cross multiply 42 into 24.

Then divide by 7

you will get ED

Then use pythageorous theorem.

Ed square + 42 square=Ef square

Then do square root of Ef square

7 0
2 years ago
Write a rule for solving equations like 2x=24 without using model. Use a related division sentence to explain your answer.
erica [24]

2×2×2×2×2×2×2×2×2÷2×2×2=24 or 2×12r

5 0
3 years ago
Suppose that g(x) = f(x) - 4. Which statement best compares the graph of
ArbitrLikvidat [17]

Answer:

The graph of g(x) is shifted 4 units down.

6 0
3 years ago
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