<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.
Answers:
When we evaluate a logarithm, we are finding the exponent, or <u> power </u> x, that the <u> base </u> b, needs to be raised so that it equals the <u> argument </u> m. The power is also known as the exponent.
The value of b must be <u> positive </u> and not equal to <u> 1 </u>
The value of m must be <u> positive </u>
If 0 < m < 1, then x < 0
A <u> logarithmic </u> <u> equation </u> is an equation with a variable that includes one or more logarithms.
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Explanation:
Logarithms, or log for short, basically undo what exponents do.
When going from to
, we have isolated the exponent.
More generally, we have turn into
When using the change of base formula, notice how
If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why
We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.
Answer:
two to the five sixths power
Step-by-step explanation:
