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Slav-nsk [51]
3 years ago
15

What is the total volume of this compound shape?

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

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Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.

As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.

To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.

We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,

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  • Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
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The volume of a sphere is 113.1 cm3; find the diameter of the sphere.
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