![tay840](/avatars/1394.jpg)
tay840
03.02.2020 •
Mathematics
The ratio between the radius of the base and the height of the cylinder is 2: 3.if its volume is 1617cm^3,the total surface area of the cylinder is?
Solved
Show answers
More tips
- C Computers and Internet How to Top Up Your Skype Account Without Losing Money?...
- H Health and Medicine How does childbirth happen: everything future mothers need to know...
- H Health and Medicine What Are the Best Vitamins? A Scientific View on Vitamin Supplements...
- A Auto and Moto How to Deregister a Car in Moscow?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- A Auto and Moto How to choose the right drive for your BMW...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- L Leisure and Entertainment Mysteries of the Name Vyacheslav Dobrynin...
- H Health and Medicine What makes Graves’ disease dangerous?...
- F Food and Cooking When is Easter in 2011?...
Answers on questions: Mathematics
- M Mathematics State whether the data described below are discrete or continuous, and explain why. The weights of dogs (in pounds) at a dog show A. The data are discrete because the data...
- M Mathematics 8x+2 34 Y’all know how to do this?...
- M Mathematics Which of the following statements must be true?...
- M Mathematics Solve for m: 18d − 2m + 9k 5k + 10...
- M Mathematics On a highway a wreck occurred and cause a 10 mile traffic jam. The average car is 13 feet in length, the average truck is 20 feet in length and the average 18 wheeler is 75...
- M Mathematics Which point on the number line shows the graph...
- M Mathematics Si 3 kg de almendras cuestan $27.000, ¿cuántos kg podré comprar con $45.000?...
- M Mathematics Find the length of the missing side of the right triangle....
- M Mathematics Find the image of the point (5,3) after a 90 degree counterclockwise rotation Answers •(3,-5) •(-3,-5,) •(-3,5) •(5,-3)...
- M Mathematics {(-4, 1), (-3,5), (-1,0), (6, 2), (9,5)} is this a function or not?...
Ответ:
The volume of the cylinder is : V = π r² h
The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r
V = 1617 cm
π = 3.14
1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
r³ = 1078/π = 1078/3.14 = 343
r = ∛343 = 7 cm
h = 3/2r = 3/2 * 7 = 10.5 cm
The surface area of the cylinder is:
SA = 2πr² + 2πrh
= 2 * 3.14 * 7² + 2 * 3.14 * 7 * 10.5
= 307.72 + 461.58
= 769.3 cm²
Ответ: