Answer:The answer is B
Step-by-step explanation:
I got right on edginuity:)
Ratio of surface area to the volume of a softball is equal to [tex](3:2)[/tex] per inches.
" Volume is defined as the total space occupied by three-dimensional object enclosed in it."
" Surface area is defined as the total area of all the surfaces occupied by any object."
Formula used
Surface area of sphere [tex]= 4\pi r^{2}[/tex]
Volume of a sphere[tex]= \frac{4}{3} \pi r^{3}[/tex]
According to the question,
Given,
Radius of the softball [tex]'r' = 2[/tex] inches
Shape of softball is spherical
Substitute the value in the formula to get surface area and volume,
Surface area of a softball [tex]= 4\pi (2)^{2}[/tex]
[tex]= 16\pi[/tex] square inches
Volume of a softball [tex]= \frac{4}{3} \pi (2)^{3}[/tex]
[tex]= \frac{32\pi }{3}[/tex] cubic inches
Ratio of surface area to the volume of a softball
[tex]= \frac{16\pi }{\frac{32\pi }{3} }[/tex]
[tex]= \frac{3}{2}[/tex] per inches
Hence, ratio of surface area to the volume of a softball is equal to [tex](3:2)[/tex] per inches.
Learn more about surface area and volume here
brainly.com/question/15585435
#SPJ2
