12. The surface area of the soup can below is 51.84 in. If the
diameter of the can is 3 inches, find the height of the can.
Soup
Answers
Answer:
4 inch
Step-by-step explanation:
Given that, the surface area of the soup can is 51.84 in².
The diameter of the can is 3 inches.
Then, radius of the can =1.5 inches
Total surface area of the cone is = 2πrh+2πr²
=Given that, the surface area of the soup can is 51.84 in².
The diameter of the can is 3 inches.
Then, radius of the can
inches
=1.5 inches
Total surface area of the cone is = 2πrh+2πr²
=2π(1.5)h + 2π(1.5)² in²
=2π(1.5)(h + 1.5) in²
=3π(h+1.5) in²
So,
3π(h+1.5)=51.84
= h+ 1.5 = 51.84/3π
= h = 51.84/3π - 1.5
= h=5.5-1.5
= h=4 inches