![cjd1214812148](/avatars/13041.jpg)
cjd1214812148
13.01.2021 •
Mathematics
It's fear has a radius of 4 inches in a cube shaped box has an edge length of 7.5 inches JD says the box has greater volume so the sphere will fit in the box is he correct
Solved
Show answers
More tips
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- D Dating, Love, Relationships How Long Can Love Last?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- F Food and Cooking How to Find Your Zip Code?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- S Style and Beauty How to Apply Foundation Correctly?...
- S Sport How to Choose Tennis Rackets?...
Answers on questions: Mathematics
- M Mathematics Someone help please and thank you!...
- M Mathematics How can you use a protractor to prove that AB and DC are perpendicular?...
- M Mathematics Hi who can help me do this 2quetion,I will mark brainlest...
- M Mathematics Help please, show work!!:)...
- M Mathematics How do we get 5/28? I don t understand how it arrive to this answer. The solve it option doesn t provide how it was calculated. Thank you...
- M Mathematics A city has cone-shaped buildings for storing salt and sand for icy roads. Each building has a radius of 30 feet and a height of 20 feet. Find the volume of the building. Use 3.14 for...
- M Mathematics Help with all parts please...
- M Mathematics What are the parts of conditional statement?...
- M Mathematics Question 2 2.1 A car travels for 1 hour 30 minutes and covers a distance of 150 km. How long (In hours and minutes) will it take the car to cover a distance of 260 km at the same average...
- M Mathematics Si una persona esta nadando a 2.5 metros bajo el nivel del agua como se expresa esa altura?...
Ответ:
JD is wrong.
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
Step-by-step explanation:
The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.
So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.
Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.
So, JD is wrong.
We calculate both the volume of the sphere and cube.
Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches
So, V = 4πr³/3
= 4π(4 in)³/3
= 4π(64) in³/3
= 256π in³/3
= 804.25 in³/3
= 268.1 in³
Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches
So, V' = L³
= (7.5 in)³
= 421.88 in³
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
Ответ:
.4
step-by-step explanation:
2/5 is the same as 4/10
0.4