Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches b. 4.55 inches c. 8.25 inches d. 3.65 inches

We know that
[surface area of a right circular cylinder]=2*[area of the base]+[perimeter of base]*h
r=5 in
[perimeter of base]=2*pi*r> 2*pi*5> 31.4 in
[area of the base]=pi*r²> pi*5²> 78.5 in²

h={[surface area of a right circular cylinder]-2*[area of the base]}/[perimeter of base]

h={[300]-2*[78.5]}/[31.4]> 4.55 in

the answer is 4.55 in

[surface area of a right circular cylinder]=2*[area of the base]+[perimeter of base]*hr=5 in[perimeter of base]=2*pi*r> 2*pi*5> 31.4 in[area of the base]=pi*r²> pi*5²> 78.5 in²
h={[surface area of a right circular cylinder]-2*[area of the base]}/[perimeter of base]
h={[300]-2*[78.5]}/[31.4]> 4.55 in
the answer is 4.55 in