what is the surface area of this cylinder? use $piapprox3.14$ and round your answer to the nearest hundredth.
what is the surface area of this cylinder? use $piapprox3.14$ and round your answer to the nearest hundredth.
Answer
Explanation:
Step1: Calculate area of two bases
The formula for the area of a circle is $A_{base}=\pi r^{2}$. Given $r = 18$ yd. The area of two bases $A_{2 - bases}=2\pi r^{2}=2\times3.14\times18^{2}=2\times3.14\times324 = 2034.72$ square - yards.
Step2: Calculate lateral - surface area
The formula for the lateral - surface area of a cylinder is $A_{lateral}=2\pi r h$. Here, $r = 18$ yd and $h = 13$ yd. So $A_{lateral}=2\times3.14\times18\times13=2\times3.14\times234 = 1469.52$ square - yards.
Step3: Calculate total surface area
The total surface area of a cylinder $A = A_{2 - bases}+A_{lateral}$. So $A=2034.72 + 1469.52=3504.24$ square - yards.
Answer:
$3504.24$ square yards