Answer:
75 cm
Step-by-step explanation:
150÷2 = 75
Good luck with your exam :)
Hello from MrBillDoesMath!
Answer:
2035.8 (approximately)
Discussion:
The volume of a cone or radius r and height h is given by the formula:
Volume = (1/3) Pi * r^2 * h. In our case this is:
V = (1/3) Pi * (18)^2 * 6
=(1/3) Pi * 324 * 6 => 324/3 = 108
= 108 * 6 Pi => 108 *6 = 648
= 648 * Pi => approximating Pi by 3.14
= 648 * 3.14
= 2035.8 (approximately)
Thank you,
MrB
Answer:
r = 98 cm
Step-by-step explanation:
Formula for curved surface area = 
where r = radius & h = height
Let the radius be 'r'.
According to the question ,



Answer:
+
*LN(|
|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns
into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into
(see substitutions) while secθ will resolve into
sec(θ)=
is from its ratio identity of hyp/adj where the hyp. is
and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
=
+
*LN(|
|) +C
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