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<h3>(i) Statement :</h3><h3>To find the value of 3x^3-9x . We need to evaluate the cube of both sides of the given equality, try to write maximum expressions in terms of x and then try to write the left hand side in the form 3x^3-9x .</h3><h3>(only for Explaination) </h3><h3>Steps in Attachment</h3><h3>Last Step = 3x^3 - 9x = 10</h3>
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Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume: