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Levart [38]
3 years ago
8

What is the volume of the cone? Use 3.14 for π. Round your answer to the nearest hundredth.

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

Answer:178.71696m^3

Step-by-step explanation:

To find the volume of cone=1/3πr2h

To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.

7^2=h^2+3^2

h^2=49-9

h=√40

h=6.32m

V=1/3×3.142×3m×3m×6.32m

Therefore our answer is;

V=178.71696m^3

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Answer:

The third option listed: \sqrt[3]{2x} -6\sqrt[3]{x}\\

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

7\sqrt[3]{2x}  -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x}  -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x}  -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}

Therefore this is the simplified radical expression: \sqrt[3]{2x} -6\sqrt[3]{x}\\

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3 years ago
Mr.Swanson bought a package of 10 disposable razors for $6.30. He found that each razor lasted for 1 week. What was the cost per
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