The recursive rule for a sequence and one of the specific terms is given. find the position of the given term.
f(1) = 55.5, f(n)=f(n − 1) +0.4; 58.7
the term 58.7 is the
th term.

The recursive rule for a sequence and one of the specific terms is given. find the position of the g

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Ответ:

jonathanrgarcia

12.02.2020

Mathematics

$0.96\text{ in}^3$

Step-by-step explanation:

We have been given that Lindor's Truffles have an outer shell diameter of 1.25 in. and a creamy milk chocolate fudge that makes up the inner circle of the ball that has a diameter of 0.5 in.

Since truffles are in shape of sphere, so we will use volume of spherical shells formula to solve our given problem.

$\text{Volume of spherical shell}=\frac{4}{3}\pi (R^3-r^3)$ , where,

$R=\text{Radius of outer shell}$

$r=\text{Radius of inner shell}$

We know that radius of a circle half the diameter of circle. So we need to divide diameters of inner and outer shell by 2 to find their respective radii.

$\text{Radius of outer shell}=\frac{1.25}{2}=0.625$

$\text{Radius of inner shell}=\frac{0.5}{2}=0.25$

Upon substituting the values of radii in above formula we will get,

$\text{Volume of spherical shell}=\frac{4}{3}\pi (0.625^3-0.25^3)$

$\text{Volume of spherical shell}=\frac{4}{3}\pi (0.244140625-0.015625)$

$\text{Volume of spherical shell}=\frac{4}{3}\pi (0.228515625)$

$\text{Volume of spherical shell}=0.3046875\pi$

$\text{Volume of spherical shell}=0.95720401164\approx 0.96$

Therefore, the outer shell occupies 0.96 cubic inches of more volume than the inner fudge.

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The recursive rule for a sequence and one of the specific terms is given. find the position of the given term. f(1) = 55.5, f(n)=f(n − 1) +0.4; 58.7 the term 58.7 is the th term.