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nekit [7.7K]
3 years ago
13

What is the volume of a spherical shell with inner radius 7 and outer radius 8?

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

707.9 cm³

Step-by-step explanation:

What is the volume of a spherical shell with inner radius 7 and outer radius 8?

The formula for the volume of a sphere is given as;

= 4/3 × π × r³

From the above question:

inner radius 7 and outer radius 8

Hence, the volume of a sphere with

inner radius 7 and outer radius 8 is calculated as:

V = (4/3 × π × 8³ ) - (4/3 × π × 7³)

V = 4/3 × π ×(8³- 7³)

V = 4/3 × π × (512 - 343)

V = 4/3 × π × 169

V = 707.9055446 cm³

V = 707.9 cm³

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A die is rolled if the number rolled is less than 5 what is the probability that it is the bumber 2?
marin [14]

Answer: 1 out of 4

Step-by-step explanation: because it is below five, there are four possibilities. And rolling a 2 is only one of them

6 0
3 years ago
She invited 150 friends. But she only had 5 activities for her friends and her party only lasted 4 hours. How much time will eac
DanielleElmas [232]

Answer:

19.20 seconds.

Step-by-step explanation:

Given:

She invited 150 friends.

But she only had 5 activities for her friends and her party only lasted 4 hours.

Question asked:

How much time will each friend get on each activity ?

Solution:

First of all convert 4 hours into seconds:-

1 hour = 3600 seconds

4 hours = 3600 \times 4 = 14400 seconds

<u>By unitary method:</u>

150 friends get time in 5 activities = 14400

1 friend get time in 5 activities = 14400 \div 150 = 96 seconds

That means <u>each friend get 96 seconds in all 5 activities.</u>

Each friend get time on each activity = ?

Each friend get time on 5 activities = 96

Each friend get time on 1 activity = 96 \div 5 = 19.20 seconds

Thus, each friend will get 19.20 seconds on each activity.

4 0
3 years ago
The area of a regular hexagon is 15 cm2. What is the area of a similar hexagon with sides four times as large?
denis-greek [22]

Answer:

60 cm2

Step-by-step explanation:

15x4=60

8 0
2 years ago
Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
galben [10]

Answer:

29

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

5 0
3 years ago
Select the relations that are functions.
Arlecino [84]

Answer:

Depending on how the input of each function defined,

  • The first choice \left\lbrace(a, 1),\, (6, 1), \, (C, 1)\right\rbrace,
  • The third choice \left\lbrace(1, a),\, (2, a), \, (3, a)\right\rbrace
  • The fourth choice \left\lbrace(a, a),\, (b, b), \, (c, c)\right\rbrace

might be functions.

Step-by-step explanation:

A function between two sets (domain and range) should

  • be defined for all elements in the domain, and
  • map each element from the domain to exactly one element in the range.

The second choice can't be a function since the element a from the domain is mapped to more than one element in the range.

Keep in mind that a function should be defined for all elements in its domain. For the first relation to be a function, its domain needs to be \lbrace a,\, 6, \, C\rbrace. Similarly, the domain for the third and fourth relations should be \lbrace 1,\, 2, \, 3\rbrace and \lbrace a,\, b, \, c\rbrace

8 0
3 years ago
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