3 years ago

How to slove this one?

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

turning it I think.........

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One hour on earth is four hours on planet S.

Andreas93 [3]

Answer:

The answer is 60 hours.

Step-by-step explanation:

We could use proportions to solve.

$\frac{1 \: hour \: on \: earth}{4hours \: on \: planet \: s} = \frac{x}{240hours \: on \: planet \: s}$

$4 \times x = 4x \\ 1 \times 240 = 240$

$\frac{4x}{4} = \frac{240}{4} \\ x = 60$

3 0

3 years ago

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis.

andrezito [222]

Since the rotation is about the y-axis, I'll integrate by dy.

$\displaystyle y=x^3\\x=\sqrt[3]y\\\\V=\pi \int \limits_1^8(2^2-(\sqrt[3]y)^2)\, dy\\V=\pi \Big[4x-\dfrac{3}{5}x^{\tfrac{5}{3}}\Big]_1^8\\V=\pi \left(4\cdot8-\dfrac{3}{5}\cdot8^{\tfrac{5}{3}\right-\left(4\cdot1-\dfrac{3}{5}\cdot1^{\tfrac{5}{3}\right)\right)\\V=\pi \left(32-\dfrac{96}{5}-\left(4-\dfrac{3}{5}\right)\right)\\V=\pi \left(\dfrac{64}{5}-\dfrac{17}{5}\right)\\V=\dfrac{47\pi}{5}$