Question

math 3 chapter 1 test b
total questions: 16
worksheet time: 55mins
name janella kimberly manaro
class 5
date 9/2/25

1. what is the total surface area of the cylinder to the nearest square inch?

a) 625 in²
b) 1300 in²
c) 1046 in²
d) 414 in²

1. find the volume of the cylinder.

a) 565
b) 4239
c) 1130
d) 1696

Explanation:

Step1: Recall surface - area formula for cylinder

The total surface area formula of a cylinder is $S = 2\pi r^{2}+2\pi rh$, where $r$ is the radius and $h$ is the height. Given $r = 9$ in and $h=14$ in.
First, calculate the area of the two bases: $2\pi r^{2}=2\times\pi\times9^{2}=2\times\pi\times81 = 162\pi$ in².
Then, calculate the lateral - surface area: $2\pi rh=2\times\pi\times9\times14 = 252\pi$ in².

Step2: Calculate total surface area

$S=162\pi + 252\pi=414\pi\approx414\times 3.14 = 1300$ in² (rounded to the nearest square inch).

Step3: Recall volume formula for cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Given $r = 6$ m and $h = 15$ m.
$V=\pi\times6^{2}\times15=\pi\times36\times15 = 540\pi\approx540\times3.14 = 1696$ m³ (rounded to the nearest whole number).

Answer:

1. B. $1300$ in²
2. D. $1696$ m³