![kayolaaaa53](/avatars/45212.jpg)
kayolaaaa53
13.05.2021 •
Mathematics
From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the long side of the rectangle. Holding the straw horizontally at one end, he twirls it, causing the rectangle to create the image of a solid figure. Which statement best describes the solid figure?
a) A rectangular prism with a volume of w^{2\ }+\ 4w\ \ +4\ in^3w 2 +4w+4in 3 where w represents the width of the rectangle.
b) A rectangular prism with a volume of w^3+4w^{2\ }+4w\ in^3 w 3 +4w 2 +4win 3 where w represents the width of the rectangle.
c) A cylinder with a volume of \pi\left(w^3+2w^2\right)in^3π(w 3+2w 2)in 3 where w represents the width of the cylinder.
d) A cylinder with a volume of \frac{\pi\left(w^3+2w^2\right)}{3}in^33π(w 3+2w 2 ) in 3 where w represents the width of the cylinder.
Solved
Show answers
More tips
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- C Computers and Internet How to Learn to Type Fast?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- S Style and Beauty How to braid friendship bracelets?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- H Health and Medicine What is Autism? Understanding the Basics of This Neurodevelopmental Disorder...
Answers on questions: Mathematics
- M Mathematics Please help important...
- B Biology Why do you produce carbon dioxide when working out?...
- M Mathematics Perpendicular to line y=1/2x-7 passing through (3,-4)...
- M Medicine Which of the answers below is not a key tenet of intersectionality? a. people s lives are multi-dimensional and complex b. relationships and power dynamics between social locations...
Ответ:
c)A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
Step-by-step explanation:
A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
The volume of a cylinder is given by V=Bh or V=πr²h
where B is the area of the base and h is the height of the cylinder.
V=πr²hequation1
V= π(w³ +2w² ) equation2
Comparing equation 1 and equation 2
πr²h=π(w³ +2w² )
r²h=(w³ +2w² )
r²h= w²(w +2 )
Taking w² common leaves w+2 which gives the height or length of the cylinder.
Therefore radius = width and height = length which gives the volume of the cylinder.
Ответ:
116.15
Step-by-step explanation: