An inflatable beach ball has a circumference of 141.3 centimeters what is the volume of the beach ball when fully inflated

The volume of fully inflated ball is 47688.75 cubic centimeter

Step-by-step explanation:

Step 1 :

The circumference of the given beach ball = 141.3 centimeters

We need to find volume of the inflated ball

Step 2 :

Circumference  = 2 r = 141.3 [r is the radius]

=> r =  22.5 [ This is obtained by dividing 141.3 by 2  ]

The volume of the fully inflated ball is the volume of a sphere with the radius 22.5

Therefore volume = (4/3)   r³ =  (4/3)   (22.5)³ = 47688.75 cubic centimeter

Step 3 :

Answer :

The volume of fully inflated ball is 47688.75 cubic centimeter

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

step-by-step explanation: