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In-s [12.5K]
3 years ago
12

At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

134 cubic centimeters

Step-by-step explanation:

The extended part is basically the volume of HALF A SPHERE.

First, the volume of full sphere is:

V=\frac{4}{3}\pi r^3

Hence, the half sphere volume would be:

Half \ Sphere = \frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3

We know the diameter is 8, radius is HALF OF THAT, so

Radius = 8/2 = 4

Substituting, we find (remembering to use 3.14 as pi):

\frac{2}{3}\pi r^3\\=\frac{2}{3}\pi (4)^3\\=\frac{2}{3}(3.14)(64)\\=133.97

To the nearest cubic centimeter, the answer is:

134 cubic centimeters

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the length of one leg of a right triangle is 20ft, and the length of the hypotenuse is 52 ft. What is the length of the other le
Dima020 [189]
A^2 + b^2 = c^2
20^2 = 400
52^2 = 2704
400 + b^2 = 2704
2704 - 400 = 2304
So you need the square root of 2304 which is 48 so the length of the other leg is 48 ft.

8 0
3 years ago
Please help the question in on a image down below
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8 0
2 years ago
If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2
IgorLugansk [536]

Answer: 10

Step-by-step explanation:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx=dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

6 0
3 years ago
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. W
ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles  + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}

Thus, the probability of selecting both yellow is 5/22.

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3 years ago
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Alja [10]

Answer:

D

Step-by-step explanation:

RATE BRAINLIEST IF RIGHT

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3 years ago
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