Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the lateral surface area of the cylinder. lsa = ? cm² round to the…

Question

find the lateral surface area of the cylinder. lsa = ? cm² round to the nearest hundredth. use 3.14 for π

Explanation:

Step1: Recall the formula for lateral surface area of a cylinder

The formula for the lateral surface area (LSA) of a cylinder is \(LSA = 2\pi rh\), where \(r\) is the radius and \(h\) is the height.

Step2: Identify the values of \(r\) and \(h\)

Given \(r = 2\space cm\) and \(h=7\space cm\), and \(\pi = 3.14\).

Step3: Substitute the values into the formula

Substitute \(r = 2\), \(h = 7\), and \(\pi=3.14\) into \(LSA = 2\pi rh\).

$$ LATEXBLOCK0 $$

Answer:

\(87.92\)