Answer:
Step-by-step explanation: 4848474838387398437939743927938<em>5</em>
Step-by-step explanation:
radius of sphere, rs
radius of cylinder, rc
height of cylinder, h
given: h = rs = rc =r..eq1
volume of cylinder, vc = 27pi ft...eq2
volume of cylinder, vc = pi × rc^2 × h...eq3
volume of sphere, vs = 4/3(pi×rs^3)...eq4
subst for h & rs from eqn 1 in eqn 3...
vc = pi x r^2 x r= pi x r^3...eqn 5
subst for vc from eqn 2 in eqn 5...
=> 27 pi ft = pi x r^3
=> 27 = r^3
=> r = 3ft...eqn 6
subst for rs from eqn 1 in eqn 4
vs = 4/3 (pi x r^3)...eqn7
subst for pi x r^3 from eqn 5 in eqn 7
vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft
<em><u>The expressions that are polynomial are:</u></em>
6 + w

z + 1
<em><u>Solution:</u></em>
A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
1) 6 + w
Here "w" is a variable, hence it is a polynomial expression

This is a polynomial, since it has variables and coefficients and variable with non negative exponent
3) z + 1
This is also a polynomial with variable "z" and has addition operation

Since it has root so it is not a polynomial