Answer:
2 cans of paint
Step-by-step explanation:
Surface area of an open cylinder = [tex]2\pi rh[/tex]
(where r is the radius and h is the height)
⇒ SA = 2 × [tex]\pi[/tex] × (15 ÷ 2) × 10 = 150[tex]\pi[/tex] ft²
Surface area of an open cone = [tex]\pi r\sqrt{h^2+r^2}[/tex]
(where r is the radius and h is the height)
⇒ SA = [tex]\pi[/tex] × (15 ÷ 2) × √(4² + 7.5²) = 63.75[tex]\pi[/tex] ft²
Total surface area = 150[tex]\pi[/tex] + 63.75[tex]\pi[/tex] = 213.75[tex]\pi[/tex] = 671.52 ft² (nearest hundredth)
If one can of paint covers approx. 400 ft² then 2 cans of paint needed to cover 671.52 ft²
