In the derivation of the formula for the volume of a cond
the yolume of the cone is calculated to be times the
volume of the pyramid that it fits inside
Which statement best describes where the comes
4
from in the formula derivation?
It is the ratio of the area of the square to the area of
the circle from a cross section
It is the ratio of the area of the circle to the area of
the square from a cross section
It is the difference of the area of the square and the
area of the circle from a cross section
It is the sum of the area of the square and the area
of the circle from a cross section
h
2x
2r

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week