A soccer ball made of leather 1/81/8 in thick has an inner diameter of 8.58.5 in . Use the formula V=(4/3)πr3V=(4/3)πr3 to calcu
late the volume. Model the ball as a hollow sphere and estimate the volume of its leather shell.
2 answers:
Answer:
1/8 inch thick
inner diameter of 8.5
Step-by-step explanation:
1/8 inch thick
inner diameter of 8.5
volume shell=volume total-volume shell
1/8=0.125
diameter/2=radius
radius inner=8.5/2=4.25
radiustotal=inner+outer=4.25+0.125=4.375
so
Vouter-Vinner=(4/3)pi4.375³-(4/3)pi4.25³
Vshell=(4/3)(pi)(4.375³-4.25)
Vshell=(4/3)(pi)(83.740234375-76.765625)
Vshell=(4/3)(pi)(6.974609375)
Vshell=9.299479166666666666666pi cubic inches
Vshell≈16.433536180619 cubic inches
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