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meriva
3 years ago
7

What is the surface area of a sphere if its volume is 288π cubic inches? Leave your answers in terms of π. A. 216π in² B. 144π i

n² C. 288π in² D. 16π in²
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Remark

The Volume of a sphere is V = (4/3) pi r^3. From that, you need to find r.

Givens

V = 288*pi

Substitute

288 pi = (4/3) pi r^3 Divide both sides by pi

288 pi/pi = (4/3) pi r^3 / pi

288 = (4/3) r^3 Multiply by 3

288*3 = 4*r^3

864 = 4r^3 Divide by 4

864 / 4 = 4 r^3 / 4

216 = r^3

Take the cube root of both sides.

cube_root(r^3) = cube_root(216)

r = 6

Surface Area

Formula

Area = 4 pi r^2

Substitute

r = 6

Area = 4 * pi * 6^2

Area = 4*36 * pi

Area = 144 pi Answer

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3 years ago
I need someone to help me solve this
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Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = \left[\begin{array}{ccc}4\\-7.5\\\end{array}\right] + \left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]

= \left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]

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8 0
3 years ago
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A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
2 years ago
How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5
bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point m=5

Supply Point n=6

Generally the equation for fixed-requirement constraints is mathematically given by

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Therefore the correct option is

Option B

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2 years ago
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elena55 [62]

Answer:

Its oval and yes........

4 0
3 years ago
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