A sphere has a surface area of 28.26 in2. Find the diameter in inches, of the sphere. Use PI

Question 2

What is the surface area, in square inches, of a sphere with radius 3.5 in.? Use Pi and round your answer to the nearest hundredth, if necessary.

Question 3
Whats is the volume of a sphere with a radius of 18 cm?

LAST QUESTION
What is the volume of a sphere with a diameter of 23 in.?
Round to the nearest tenth.
A 1807.5
B.1982.4
C.2103.6
D.2027.8

1. a = 4pi*r^2

28.26 = 4*3.14*r^2
r = 3/2, so diameter = 3

2. use above formula

3. v = 4/3 pi r^3 = 4/3 * 3.14 * 18^3 = 24416.64

4. use above formula. To estimate, 4/3 * pi is about 4. 4*11.5^3 = 6083. Hmmm. Nothing close. (?)

A = 4 pi r ^ 2

A = 28.26

28.26 = 4 pi r ^ 2

28.26 / ( 4 pi ) = r ^ 2

r ^ 2 = 28.26 / ( 4 * 3.14 )

r ^ 2 = 28.26 / 12.56 = 2.25

r = sqrt ( 2.25 ) = 1.5 in

Question 2

A = 4 pi r ^ 2

A = 4 * pi * 3.5 ^ 2

A = 4 * 3.14 * 12.25

A = 153.86 in ^ 2

Question 3

V = 4 * pi * r ^ 3 / 3

V = 4 * 3.14 * 18 ^ 3 / 3

V = 4 * 3.14 * 5832 / 3

V = 73249.92 / 3

V = 24416.64 in ^ 3

LAST QUESTION

V = 4 * pi * r ^ 3 / 3

V = 4 * 3.14 * 23 ^ 3 / 3

V = 4 * 3.14 * 12167 / 3

V = 152817.52 / 3

V = 50939.1733 in ^ 3

V = 50939.2 in ^ 3

rounded to the nearest tenth

What is the radius of a sphere that has a surface area of 12.56 ? Use 3.14 for .

Recall the formula .

What is the radius of a sphere that has a surface area of 12.56 es003-1.jpg? Use 3.14 for es003-2.jpg.

Recall the formula es003-3.jpg.

To answer these questions, we will use the formulas for surface area and volume of a sphere.

1. Surface area of a sphere:
The formula to calculate the surface area of a sphere is given by:
Surface Area = 4πr^2, where r is the radius of the sphere.

Given: Surface Area = 28.26 in^2

To find the radius of the sphere, we can rearrange the formula:
Surface Area = 4πr^2
28.26 = 4πr^2

Now, divide both sides of the equation by 4π:
28.26 / (4π) = r^2

Take the square root of both sides to find the radius:
sqrt(28.26 / (4π)) = r

Finally, calculate the diameter using the radius:
Diameter = 2r

2. To find the surface area of the sphere with radius 3.5 in., we use the formula:
Surface Area = 4πr^2
where r = 3.5 in.

3. To find the volume of the sphere with a radius of 18 cm, we use the formula:
Volume = (4/3)πr^3
where r = 18 cm.

4. To find the volume of the sphere with a diameter of 23 in., we need to first calculate the radius using the formula:
Radius = diameter / 2
Then we can use the volume formula:
Volume = (4/3)πr^3
where r = radius.

Now, let's solve each question step by step.

Question 1:

Given Surface Area = 28.26 in^2
Calculate the radius, r:
r = sqrt(28.26 / (4π))
Calculate the diameter: Diameter = 2r

Question 2:

Given radius = 3.5 in.
Calculate the surface area using the formula: Surface Area = 4πr^2

Question 3:

Given radius = 18 cm.
Calculate the volume using the formula: Volume = (4/3)πr^3

Question 4:

Given diameter = 23 in.
Calculate the radius: r = diameter / 2
Calculate the volume using the formula: Volume = (4/3)πr^3

Please note that for question 4, you also provided answer choices in the form of letters. To make it easier, I will provide the volume as a numerical value, and you can compare it to the answer choices.