All categories

2 years ago

Please helppppppp????

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

The volume of the spherical ball will be 4 · π · 3² · 10⁶ cubic cm. Then the correct option is A.

The complete question is attached below.

<h3>What is the volume of the sphere?</h3>

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The radius of the sphere is 3·10² cm.

Then the volume of the spherical ball will be

V = 4/3 πr³

V = 4/3 π(3 x 10²)³

V = 4/3 · π · 3³ · 10⁶

V = 4 · π · 3² · 10⁶ cubic cm

Then the correct option is A.

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

You might be interested in

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

3 years ago

A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?

Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

$y = (-\frac{1}{16})(x-20)^2 + 25$

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

$y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft$ .

4 0

3 years ago

Solve the inequality. 3 + h < 0

ipn [44]

Answer:

C. h<-3

Step-by-step explanation:

3+h<0

1)You subtract 3 to get H by itself

h<-3

*You do not flip the inequality sign because you only flip the sign when dividing.

6 0

3 years ago

USE ALL THE WORK IT TAKES TO SOLVE THIS PROBLEM

Umnica [9.8K]

Answer:

x^2 + 2x = 3x+20

-3x

x^2 - 1x = 20

- 20

x^2 -1x -20=0

(x-5)(x+4)

x-5 =0 or x+4=0

x = 5 or x= -4

3 0

3 years ago

A skydiver was at an elevation of 17,833 feet. One minute later, she was at 4,297 feet. Find her average change in elevation per

Makovka662 [10]

Uhhhhhhhhhhhh O.O ndhsjsnxjje

5 0

3 years ago

Read 2 more answers