Aplastic ball is filled with gel to make a stress ball. if the ball has a radius of 4 cm, how much
gel will fill the ball?

267.947 cm^{3} of gel is required to fill the plastic ball.

Step-by-step explanation:

The radius of the ball is given as 4 cm.

The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.

The volume of the sphere is given by the formula,

, the R is the radius of sphere.

Thus, the volume of gel required to fill the plastic ball to make it stress ball is

267.947 cm^{3} of gel.

4

step-by-step explanation:

(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