Answer:
4m³+8 is a 3rd degree binomial with constant term of
.
Step-by-step explanation:
- A binomial expression consists of two terms.
For example,
is a binomial, where m and n are two terms.
- As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.
For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.
Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.
Now, let us write a 3rd degree binomial with a constant term of 8
4m³+8
As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.
Also the highest exponent with variable m is
. Therefore it would be a 3rd degree binomial with constant term of
.
we know its diameter is 12, thus its radius must be half that, or 6.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \implies A\approx 113.097](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%206%5E2%5Cimplies%20A%3D36%5Cpi%20%5Cimplies%20A%5Capprox%20113.097)
Volume is measured in cubic units.
So the ratio would become 6^3: 5^3 = 216:125
The answer would be A.