Atree trunk has a height of 30 feet and a radius of 2.5 what is the volume of the tree trunk

L.) 589

Step-by-step explanation:

We can automatically asume that a Tree trunk is a cylinder. so the formula to find the volume of a cylinder is

So we have to substitue the values.

3.14 x (2.5 squared) x 30 = V

rewrite

3.14 x 6.25 x 30 = V

19.625 x 30 = 588.75

Your exact volume is 588.75 But we can round it. so therfore your answer is L.) 589

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)