![999986536](/avatars/26490.jpg)
999986536
11.06.2021 •
Mathematics
A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder. Give answer in terms of π
Solved
Show answers
More tips
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
Answers on questions: Mathematics
- M Mathematics What does the ! after a number mean.explain in your own words and give 5 examples....
- S Social Studies The myth of objectivity a) states all myths can be objectified by the people who adhere to them b) it is a myth that scientists (or any human) can be completely objective...
- M Mathematics Suppose you are going into business mowing lawns. you have purchased a lawn mower for $200. gas and oil costs you $1.50 per lawn. you are charging $15 per lawn. how many...
- E English A compound sentence contains...
- E English He is the of the two brothers. old older oldest...
Ответ:
Volume of the cylinder = 250π inch²
Step-by-step explanation:
Surface area of the cylinder is given by,
Surface area = 4πr²
Here, r = radius of the sphere
Since, surface area = 100π square inches
100π = 4πr²
r² = 25
r = 5
From the picture attached,
Height of the cylinder = diameter of the sphere
= 2(r)
= 2(5)
= 10 inches
Volume of the cylinder is given by,
Volume = πr²h
Here, r = radius of the cylinder
h = height of the cylinder
Therefore, Volume of the cylinder = π(5)²(10)
= 250π square inches
Ответ: