nick is making a bracelet with 27 identical wooden beads. each bead is a cylinder like the one shown below…
nick is making a bracelet with 27 identical wooden beads. each bead is a cylinder like the one shown below. before he drills the holes in the middle to string the beads together, he wants to sand the surface of each bead. what is the total surface area nick needs to sand? round your answer to the nearest hundredth. square millimeters
Answer
Answer:
$1608.49$
Explanation:
Step1: Recall surface - area formula for a cylinder
$S = 2\pi r^{2}+2\pi rh$
Step2: Identify radius and height values
$r = 4$ mm, $h = 8$ mm
Step3: Calculate surface - area of one bead
$S=2\pi(4)^{2}+2\pi(4)(8)$ $S = 32\pi+64\pi$ $S = 96\pi$ mm²
Step4: Calculate total surface - area for 27 beads
$S_{total}=27\times96\pi$ $S_{total}=2592\pi$ $S_{total}\approx 2592\times 3.14159$ $S_{total}\approx1608.49$ mm²