Answer:
Step-by-step explanation:
First, we can note,<em> to find the volume of a frustum, you subtract the volume of the 'tip' cone from the volume of the 'overall' cone</em>.
We must also note that the formula to find the <u>volume of a cone</u> is
where <u>'r' is the radius</u> (half a diameter), and <u>'h' is the height</u> (from the tip of the cone to the centre of the base
Also note, the question asks for the answer in terms of 'x', this means that 'x' shall represent the answer
With this information, we can now find the frustum
the values in the first set of brackets represent the volume of the overall cone, the values in the second set of brackets show the values of the smaller cone.
we can now sub in all the values
to solve the expressions within the brackets we can want to use a calculator as it is preferable when an expression includes the value of 'pi'. do each expression individually as some lower-level calculator calculators may not be able to comprehend the information.
therefore the <em>equation is now</em>
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<em>note: i had to leave it with the pi symbol to keep the numbers exact as both values were very long decimals which is not preferable as it may attribute to mistakes </em>
Next, just subtract both values using a calculator, therefore
x=171/4
<em>unfortunetly the apps expression writer is bugged and wouldn't let me perform the function and therefore had to hand write it</em>
<em>the above answer is also exact, if it is necesary to be a number with a decimal, the answer is </em>
x=134.3030859
<em>(i suggest using your calculator to convert to a number however, incase i made a mistake when writing it)</em>
round as necessary
Anyhow, I hope this helped! :)