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1 year ago

A spear has a diameter of 14 ft which equation finds the volume of the sphere

Mathematics

1 answer:

fiasKO [112]1 year ago

6 0

The volume of the sphere is 1437.33 ft³

<h3></h3><h3>What is volume of sphere?</h3>

A sphere's volume V is four-thirds of pi times the radius cubed. A hemisphere's volume is half of the volume of the associated sphere.

The volume of a spherical.

V= 4/3 πr³

radius= 7ft

So,

V= 4/3*22/7*7*7*7

V= 30184/21

V = 1437.33 ft³

Learn more about this concept here:

brainly.com/question/8549007

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Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk

pogonyaev

Answer:

A. .325L

Step-by-step explanation:

All you have to do is had .125 with .20 to get your answer

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2 years ago

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When two identical ions are separated by a distance of 4.2×10−10 , the electrostatic force each exerts on the other is 5.2×10−9

Effectus [21]

F = kq2 / r2
q = ne
F = k(ne)2 / r2
n = âš(r2F / ke2) = (r/e) âš(F/k)
k = 9 x 109 Nm2/C2
e = 1.6 x 10-19 C
n = [(4.2 x 10-10) / (1.6 x 10-19)] âš[(5.2 x 10-9) / (9 x 109)] â‰… 1.995 â‰… 2

7 0

3 years ago

An architect is designing a sandwich shop, as shown in the

STALIN [3.7K]

The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

50: 50 25 10 5 1
90: 90 45 30 18 15 10 9 6 5 3 2 1

The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

A = lenght x width or width = area / lenght

Kitchen.

Width: 50 / 10
Width: 5 meters

Dining room:

Width: 90 / 10
Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

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2 years ago

An Native American tepee is a conical tent. Find the number of cubic feet of air in a teepee 10 ft. in diameter and 12 ft. high.

marta [7]

For this case what you should know is that by definition the volume of the cone is given by:
V = ((pi) * (r ^ 2) * (h)) / (3)
Remembering that:
r = d / 2
Substituting the values:
V = ((pi) * ((d / 2) ^ 2) * (h)) / (3)
V = ((pi) * (((10) / 2) ^ 2) * (12)) / (3)
V = 314.16 ft ^ 3
Answer:
V = 314.16 ft ^ 3
The nearest option is:
300 cu. ft

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2 years ago

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

nataly862011 [7]

Let (x, y, z) be a point on the plane in the first octant. The box formed by this point has volume xyz, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

L(x, y, z) = xyz - λ (x + 2y + 3z - 6)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 2λ = 0

∂L/∂z = xy - 3λ = 0

∂L/∂λ = -(x + 2y + 3z - 6) = 0

Solving the first three equations for λ gives

λ = yz = xz/2 = xy/3

Solve these equations for y and z :

• yz = xz/2 => y = x/2 => 2y = x

• yz = xy/3 => z = x/3 => 3z = x

Substitute these solutions into the last equation and solve for x, then again for y and z :

x + 2y + 3z - 6 = 3x - 6 = 0 => 3x = 6 => x = 2, y = 1, z = 2/3

At this critical point, the maximum volume is

xyz = 2*1*2/3 = 4/3

4 0

3 years ago