The diameter of a sphere is 12 inches. What is the volume of the sphere to the nearest cubic inch
Answers
The volume of the sphere is approximately 904.78 cubic inches.
The volume of a sphere can be calculated using the formula V = (4/3)πr3, where V is the volume and r is the radius.
Since the diameter is given, we can find the radius by dividing it by 2: r = 12/2 = 6 inches.
Plugging this value into the formula gives us: V = (4/3)π(6)3. Evaluating this equation, we get the volume to be approximately 904.78 cubic inches when rounded to the nearest whole number.
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Which expression is equivalent to 3x + 14 + 3x + 10?A. 4 ( x + 6 )B. 3 ( x + 8 )C. 6 ( x + 24 )D. 6 ( x + 4 )Please explain! :)Thank You Very MUCH!!! Briemodee! :)
Answers
f(x, y) = 4x + 7y - 6
substitute x=5 and y=-5
f(5,-5) = 4(5) + 7(-5) - 6
f(5,-5) =20-35-6
= -15-6
=-21
Answers
Answer:
Simplified radical form is
Step-by-step explanation:
In this problem we have the sum of two radical expressions. First step is to rewrite the radical using factorization process. Numbers 54 and 24 can be written as the products of square and non-square numbers.
After that, we can replace the numbers in the radical expression, and we can simplify them. Square numbers can be simplified with the radical. Then, we can expand the products.
Now, we can take the radical as common term and add the numbers.
Finally, Simplified radical form is
The simplified radical form of 2√54 + 5√24 is 16√6.
How to find the simplified radical form
To simplify the expression 2√54 + 5√24, we can first simplify the square roots of the numbers under the radicals.
√54 can be simplified as follows:
√54 = √(9 * 6) = √9 * √6 = 3√6.
Similarly, √24 can be simplified as:
√24 = √(4 * 6) = √4 * √6 = 2√6.
Now, we can substitute these simplified forms back into the original expression:
2√54 + 5√24 = 2(3√6) + 5(2√6).
Applying the distributive property, we have:
2(3√6) + 5(2√6) = 6√6 + 10√6.
Combining like terms, we get:
6√6 + 10√6 = (6 + 10)√6 = 16√6.
Therefore, the simplified radical form of 2√54 + 5√24 is 16√6.
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Answer:
Look in the comments on your question for some guidance if you please to.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
-1.3
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Answer:
120 degrees
Step-by-step explanation:
180 - 60 = 120
Answer:
60
Step-by-step explanation:
all sides are equal to each other:)