Question

Due in tomorrow pls help ill give brainliest​

Answer 1

Answer:

$x=\frac{171\pi }{4}$

Step-by-step explanation:$\pi$

First, we can note, to find the volume of a frustum, you subtract the volume of the 'tip' cone from the volume of the 'overall' cone.

We must also note that the formula to find the volume of a cone is $\frac{1}{3}\pi r^{2}h$

where 'r' is the radius (half a diameter), and 'h' is the height (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

$x=(\frac{1}{3}\pi r^2h) - (\frac{1}{3}\pi r^2h)$

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

$x=(\frac{1}{3}\pi 4.5^29)-(\frac{1}{3}\pi 3^26)$

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 equation is now

$x=(\frac{243\pi }{4})-(18\pi )$

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

Next, just subtract both values using a calculator, therefore

x=171$\pi$/4  

unfortunetly the apps expression writer is bugged and wouldn't let me perform the function and therefore had to hand write it

the above answer is also exact, if it is necesary to be a number with a decimal, the answer is

x=134.3030859

(i suggest using your calculator to convert to a number however, incase i made a mistake when writing it)

round as necessary

Anyhow, I hope this helped! :)