42. what is the surface area of a sphere with a circumference of 50 feet round the answer to the nearest 10th. 43. the volume of a sphere is 2254 pi m^3. what is the surface of the sphere to the nearest 10th? 44. what is the scale factor of a cube with a volume of 729 m^3 to a cube with a volume of 6859?

Part 42) The surface area of the sphere is

Part 43) The surface area of the sphere is

Part 44) The scale factor is

Step-by-step explanation:

Part 42) What is the surface area of a sphere with a circumference of 50 feet round the answer to the nearest 10th

step 1

Find the radius of the sphere

The circumference is equal to

we have

assume

substitute and solve for r

step 2

Find the surface area of the sphere

The surface area of the sphere is equal to

substitute the value of r

round to the nearest 10th

Part 43) The volume of a sphere is 2254 pi m^3. What is the surface of the sphere to the nearest 10th?

step 1

Find the radius of the sphere

The volume of the sphere is equal to

we have

substitute and solve for r

Simplify

step 2

Find the surface area of the sphere

The surface area of the sphere is equal to

substitute the value of r

Part 44) What is the scale factor of a cube with a volume of 729 m^3 to a cube with a volume of 6859?

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z -----> the scale factor

x ----> the volume of the larger cube

y ----> the volume of the smaller cube

we have

substitute

3 is greater then both of those numbers

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