Mathematics, 30.11.2019 22:31, KittyLitty
Spaghetti sauce comes in large and small cylindrical cans. the larger can has a radius and height that are both three times longer than the radius and height of the smaller can. if the volume of the smaller can is 35.28, what is the volume of the larger can?
Answers: 2
![\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\](/tpl/images/0397/7067/71ea4.png)
![\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{1}{3}=\cfrac{\sqrt[3]{35.28}}{\sqrt[3]{v}}\implies \cfrac{1}{3}=\sqrt[3]{\cfrac{35.28}{v}} \\\\\\ \left( \cfrac{1}{3} \right)^3=\cfrac{35.28}{v}\implies \cfrac{1^3}{3^3}=\cfrac{35.28}{v}\implies v=\cfrac{3^3\cdot 35.28}{1^3}](/tpl/images/0397/7067/cc815.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 23:00, janeou17xn
Mike wants to make meatloaf. his recipe uses a total of 8 pounds of meat. if he uses a 3 to 1 ratio of beef to pork, how much pork will he use? enter your answer as a mixed number in simplest terms.
Answers: 1
Mathematics, 21.06.2019 23:30, sheram2010
Solve the equation: x - 9 = -6 + 5 a. 21 b. 7 c. 14 d. 2
Answers: 2
Do you know the correct answer?
Spaghetti sauce comes in large and small cylindrical cans. the larger can has a radius and height th...
Questions in other subjects:
Mathematics, 04.03.2021 01:00
Health, 04.03.2021 01:00
Mathematics, 04.03.2021 01:00
Mathematics, 04.03.2021 01:00
Mathematics, 04.03.2021 01:00
