if its diameter is 6, then its radius is half that or 3.
![\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%20%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D3%5C%5C%20h%3D4%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%283%29%5E2%284%29%7D%7B3%7D%5Cimplies%20V%3D12%5Cpi%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bsurface%20area%20of%20a%20cone%7D%5C%5C%5C%5C%20SA%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%2B%5Cpi%20r%5E2%5Cqquad%20%5Cimplies%20%5Cqquad%20SA%3D%5Cpi%20%283%29%5Csqrt%7B3%5E2%2B4%5E2%7D%2B%5Cpi%20%283%29%5E2%20%5C%5C%5C%5C%5C%5C%203%5Cpi%20%5Csqrt%7B25%7D%2B9%5Cpi%20%5Cimplies%203%5Cpi%20%285%29%2B9%5Cpi%20%5Cimplies%2015%5Cpi%20%2B9%5Cpi%20%5Cimplies%2024%5Cpi)
It’s the subtraction property of equality because you’re subtracting 15 from both sides
the picture in the attached figure
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
step 1
find the probability that the person is over 40 years
size of the sample size=255
size of the event space=85
P=85/255------> P=1/3
step 2
find the probability that they drink root beer
size of the sample size=255
size of the event space=75
P=75/255------> P=5/17
step 3
find the probability that the person is over 40 years of age or that they drink root beer
so
P=(1/3)+(5/17)-----> P=(17*1+3*5)/51------> P=32/51-----> 0.6275----> 62.75%
therefore
the answer is
32/51 or 62.75%
Answer:
the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation: