There are many cylinders with a height of 9 inches. Let LaTeX: rr represent the radius in inches and LaTeX: VV represents the volume in cubic inches. a. Complete the table relating the radius and volume of cylinders with height 9 inches. Write each volume as a multiple of LaTeX: \piπ or round to the nearest cubic inch.

b. Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.

c. If a cylinder with height 9 inches and radius LaTeX: rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius LaTeX: 2r2 r fill? Explain how you know.

Step-by-step explanation:

The question is not displaying correctly. Part c is unclear.

r, V, and h are the radius, volume, and height, respectively.

V = πr²h

Since h = 9 in, V = 9πr² in³

a. See picture.

b. The relationship between r and V is not linear. The volume increases exponentially as r increases linearly.

c. Let R be the radius of the larger cylinder.

Volume of larger cylinder = 9πR²

Volume of pitcher = 9πr²

(9πR²)/(9πr²) = R²/r²

The larger cylinder can fille R²/r² pitchers.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft