What are the solutions to the equation 4pir^3+30pir^2-4500=0 ?

The solutions to the equation 4pir^3+30pir^2-4500=0 are r\approx 5.29111…

Find the zeros of 4pir^3+30pir^2-4500=0

The zeros of 4pir^3+30pir^2-4500=0 are r\approx 5.29111…

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4 π r^{3} + 30 π r^{2} - 4500 = 0

r \approx 5.29111 \dots

Solution steps

4 π r^{3} + 30 π r^{2} - 4500 = 0

Find one solution for

12.56637 \dots r^{3} + 94.24777 \dots r^{2} - 4500 = 0

using Newton-Raphson:

r \approx 5.29111 \dots

Apply long division:

\frac{4 π r ^{3} + 30 π r ^{2} - 4500}{r - 5.29111 \dots} = 12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots

12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots \approx 0

Find one solution for

12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots = 0

using Newton-Raphson:

No Solution for

r \in R

The solution is

r \approx 5.29111 \dots

- a^{3} + 5 a^{2} - 8 a + 4 = 0

x^{6} + 3 x^{3} = 40

36 x^{3} - 49 x = 0

z^{5} = - 32 + 0 i

x^{3} + x^{2} = 12

What are the solutions to the equation 4pir^3+30pir^2-4500=0 ?
The solutions to the equation 4pir^3+30pir^2-4500=0 are r\approx 5.29111…
Find the zeros of 4pir^3+30pir^2-4500=0
The zeros of 4pir^3+30pir^2-4500=0 are r\approx 5.29111…