$A_1 = 2A_2 \implies \pi r_1 \cdot L_1 = 2\pi r_2 \cdot L_2 \implies \pi r_1 \cdot L_1 = 2\pi r_2 \cdot 2L_1 \implies \dfrac{r_1}{r_2} = 4$Monoxdifly said:Azis wants to make two cones using cartons. The surface area of the first cone is twice the second. The side length of the first cone is also twice the second. Determine the ratio of those cones' radius!
s1 = 2s2
L1 = 2L2
πr1(r1 + s1) = 2πr2(r2 + s2)
r1(r1 + 2s2) = 2r2(r2 + s2)
I was stuck with quadratic equations...
A quadratic equation is an equation that contains a variable raised to the second power, also known as a squared term. It is typically written in the form of ax^2 + bx + c = 0, where a, b, and c are constants.
The ratio of two cones' radii is the comparison between the size of the two cones' base circles. It is expressed as a fraction, with the larger radius on top and the smaller radius on the bottom.
To solve a quadratic equation, you can use the quadratic formula which is -b ± √(b^2 - 4ac) / 2a, where a, b, and c are the coefficients from the equation. You can also factor the equation or use the completing the square method.
The ratio of two cones' radii is significant because it determines the relative size of the two cones' base circles. This can be useful in various real-life applications, such as calculating the volume or surface area of the cones.
Yes, the ratio of two cones' radii can be negative or zero. This can happen if the larger radius is negative or if one of the radii is zero. However, in most cases, the ratio will be a positive number as both radii are typically positive values.