A sphere with a radius of 15 cm has the same volume as a cylinder with a radius of 5 cm. What is the height of the cylinder?

1 answer:

7 0

So the formula for solving the volume of a sphere is V=Pi(radius cubed) divided by 0.75. Plus your numbers in and you get V=3.14 times 15 cubed divided by 0.75. The answer is 14130. We know the volumes of both shapes are the same and that the volume of a cylinder is Pi times radius squared time hight. The equation with the numbers plugged in is 14130=3.14 times 5 squared times hight. Multiply 3.14 and 5 squared is 78.5. Now we have 14130=78.5 times hight. Isolate hight by dividing 14130 by 78.5 and the hight is 180 cm.

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yuradex [85]

Answer:

x=12.5

Step-by-step explanation:

The given triangle is a right angle triangle.

We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.

As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.

So,

cos ⁡θ= base/hypotenuse

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x=11/cos⁡28

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Rounding off to nearest 10

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4 years ago

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