Question

what is the surface area of this cylinder? round your answer to the nearest hundredth. 28 yd 9 yd square yards save answer

Explanation:

Step1: Find radius

Radius $r=\frac{28}{2}=14$ yd

Step2: Calculate base - area

Base - area $A_{base}=\pi r^{2}=\pi\times14^{2}=196\pi$ square yd

Step3: Calculate lateral - area

Lateral - area $A_{lateral}=2\pi r h = 2\pi\times14\times9 = 252\pi$ square yd

Step4: Calculate surface - area

Surface - area $A = 2A_{base}+A_{lateral}=2\times196\pi+252\pi=392\pi + 252\pi=644\pi\approx2023.40$ square yd

Answer:

$2023.40$