Answer:
Part 42) The surface area of the sphere is

Part 43) The surface area of the sphere is

Part 44) The scale factor is

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


