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storchak [24]
3 years ago
11

Find the surface area of a sphere to the nearest square unit 2inches

Mathematics
2 answers:
arsen [322]3 years ago
8 0

Answer:

The surface area of sphere having 2 inches radius is 50.24 inches²

Step-by-step explanation:

  Given : radius of sphere = 2 inches

We have to find the surface area of the sphere

Surface area of sphere is given by :

A=4\pi r^2

Given radius of sphere is 2 inches

Thus, Surface area of sphere having radius 2 inches is

\Rightarrow A=4\pi (2)^2

Solving, we get,

\Rightarrow A=4\pi 4

\Rightarrow A=16\pi

Using \pi=3.14 , we get

\Rightarrow A=16\times 3.14

\Rightarrow A=50.24

Thus, the surface area of sphere having 2 inches radius is 50.24 inches²

Art [367]3 years ago
4 0

Answer:

50.24 inches² is the surface area of the sphere.

Step-by-step explanation:

we have to find the surface area of the sphere to the nearest square unit 2 inches.

Given: radius of sphere = 2 inches

we have to find the surface area

the formula to find the surface area is given below:

A = 4 π r²

where r represent the radius of sphere

putting r = 2 inches in above formula we get

A = 4π(2)²

solving we get

A = 4 π (4)

A = 16 π

using π = 3.14 we get

A = 16 × 3.14

A =  50.24 inches² is the surface area of sphere.

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Answer:

Height: 3/2 inches

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Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

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The new volume of it is:

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To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

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<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

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\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

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At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which
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Answer:

9 Model As.

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Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

A+B=14

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

70A+55B=905

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

A=14-B

Substitute this into the second equation: "

70(14-B)+55B=905

First, we can divide everything by 5 to simplify things:

14(14-B)+11B=181

Distribute the left:

196-14B+11B=181

Combine like terms:

-3B+196=181

Subtract 196 from both sides:

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Divide both sides by -3

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So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

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3 0
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A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele
aev [14]

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

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Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

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No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

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CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

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