PLEASE HELP! I WILL GIVE YOU 25 POINTS AND BRANLIEST!! PLEASE ONLY CORRECT ANSWERS!!

Mathematics

1 answer:

kow [346]3 years ago

3 0

To start, I had similar questions and I know that it takes 3 cones to fill a cylinder.
And as for the volumes:
V of a cylinder= V=π r<span>2 h (pi x radius squared x height)
Volume of a cone= V=</span><span>π r2 h/3 (pi x radius squared x height divided by 3)</span>

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Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

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Using let rule for similarity in right triangle:

$\frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10}$