The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question. The volume of a soccer ball is about 371 cubic inches.

What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.

4.5 inches to the nearest tenth

Step-by-step explanation:

V=4/3πr^3

Divide both sides by 4/3π:

r^3 =  V / 4/3π

r =  ∛ (V / 4/3 π)

When V = 371 inches:

r =  ∛ (371/ 4/3 π)

= 4.46 in

Step-by-step explanation:

volume of sphere V = 4/3 π r³

where V = 371 in³

           π = 3.14

find: radius r

solution:

371 = 4 (3.14) r³

         3

simplify:

371 (3) = 4(3.14) r³

371 (3) =  r³

4(3.14)

r³ =  1113  

      12.56

r =

r = 4.5 in. therefore, the answer is B.

where is the figure

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!