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Juli2301 [7.4K]
3 years ago
9

5. What is closest to the volume of the sphere?

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

The correct answer is D)

Step-by-step explanation:

To find the volume of a sphere, you need to use the formula \frac{4}{3}\pi r^3. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. \frac{4}{3}\pi *7.5^3 = \frac{4}{3}\pi *421.875 = 562.5*\pi ≈ 1767.15in^3, which is closest to 1767.21in^3, so that is the correct answer.

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For questions 1 - 2, use the following functions:
natita [175]

Answer:

fx+gx=5x-11

fx-gx=x-3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A cylinder and a cone have the same radius and height. The volume of the cylinder is 639 ft ^3. what is the volume of the cone?
AURORKA [14]

The volume of the cone is: A. 213 ft³.

<h3>Volume of a Cylinder and a Cone</h3>
  • Volume of cylinder = πr²h.
  • Volume of cone = ⅓πr²h.

Given:

radius and height of both the cylinder and the cone are equal.

Volume of Cylinder = 639 ft³

Therefore:

πr²h = ⅓πr²h

This means that volume of cone would be ⅓ of the volume of the cylinder.

Volume of cone = ⅓(639) = 213 ft³

Therefore, the volume of the cone is: A. 213 ft³.

Learn more about volume of cone on:

brainly.com/question/13677400

7 0
2 years ago
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
Nesterboy [21]
52.5

Explanation:
x/18. 30/100 cross multiply 30*18=5250
5250 divided by 100= 52.5
5 0
2 years ago
Read 2 more answers
What is the perimeter of △ABC?
timofeeve [1]
<h3>Given</h3>
  • ΔABC
  • A(-3, -1), B(0, 3), C(1, 2)
<h3>Find</h3>
  • the length of the perimeter of ΔABC to the nearest tenth
<h3>Solution</h3>

The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.

The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us

... AB² = 3² +4² = 9 +16 = 25

... AB = √25 = 5

You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.

LIkewise, segment AC has coordinate differences of ...

... C - A = (1, 2) -(-3, -1) = (4, 3)

These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.

Segment BC has coordinate differences ...

... C - B = (1, 2) -(0, 3) = (1, -1)

The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is

... BC = √(1² +1²) = √2 ≈ 1.4

So the perimeter of the triangle ABC is

... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units

_____

Please be aware that the advice to "round each step" is <em>bad advice,</em> in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.

In this problem, the only number that is not an integer is √2, so it doesn't really matter.

7 0
3 years ago
A 6-sided die is rolled. what is the probability of rolling a number less than 4?
ohaa [14]

1/2

Step-by-step explanation:

All outcomes of a single die= 6

Events less than 4 =3

probability=3/6

=1/2

7 0
1 year ago
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