Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.