![foodisbae45678](/avatars/11654.jpg)
foodisbae45678
12.08.2020 •
Mathematics
A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]
Solved
Show answers
More tips
- H Health and Medicine Is Massage Necessary? Facts and Opinions...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics Multiply: 4x^3*sqrt 4x^2 (2^3 *sqrt 32x^2 - x^3 sqrt 2x)...
- M Mathematics A pole that is 2.7 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that is 41.75 m long. How tall is the tower? Round your answer to...
- M Mathematics Intersection of which lines should be taken as the center of the circumscribed circle of a triangle?...
- A Arts Free brainlest for the first person...
- B Biology Fernando : Buenos días. Necesito ver al doctor. Recepcionista: Buenos días. Por favor, el formulario. A. llenas B. lleno C. llene D. llenan...
Ответ:
Step-by-step explanation:
Since it's a hemisphere, the volume will be:
Volume of Hemisphere =![\frac{2}{3} \pi r^3](/tpl/images/0718/2672/c6ae6.png)
Given that Volume of hemisphere = 230 cm³
230 =![\frac{2}{3} \pi r^3](/tpl/images/0718/2672/c6ae6.png)
Multiplying both sides by 3
230 * 3 = 2πr³
690 = 2πr³
Dividing both sides by 2π
690 / 2π = r³
r³ = 109.8
Taking cube root on both sides
r = 4.8 cm
Ответ:
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
The formula for the volume of hemisphere is V = 2/3πr³.
The volume is given.
230 = 2/3πr³
Solve for r or radius.
Multiply both sides by 3/2.
230 × 3/2 = 2/3πr³ × 3/2
345 = πr³
Divide both sides by π.
(345)/π = (πr³)/π
109.816910733 = r³
Take the cube root of both sides.
∛(109.816910733) = ∛(r³)
4.78876002459 = r
Ответ: