MATH SOLVE

5 months ago

Q:
# The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

Accepted Solution

A:

Hello!The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.We have the following data:Al (lateral surface area) = 80 inΒ²R (ratio) = 4 inh (height) = ? (in inches)Adopt : Ο β 3.14We apply the data to the formula, we have:[tex]A_l = 2*\pi*R*h[/tex][tex]80 = 2*3.14*4*h[/tex][tex]80 = 25.12\:h[/tex][tex]25.12\:h = 80[/tex][tex]h = \dfrac{80}{25.12}[/tex][tex]h = 3.18 \to \boxed{\boxed{h \approx 3.2\:in}}\:\:\:\:\:\:\bf\green{\checkmark}[/tex]Answer:β 3.2 inches________________________[tex]\bf\green{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}[/tex]