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Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger. Which of the following brands of hat should she buy?

Brand A:
height of cone = 15 in.
radius of cone base=6 in.

Brand B:
height of cone = 18 in.
radius of cone base=5 in.

A. Brand A
B. Brand B
C. Either - the hats have equal volumes

Respuesta :

Lxtus
The formula for a volume of a cone is v= πr^2h/3.

Brand A: π6^2(15/3)

Brand A: volume is about 565.49

Brand B: π5^2(18/3)

Brand B: volume is about 471.24

Brand A holds more volume so A would be the correct answer to the question.
ashishdwivedilVT

Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

What is Cone?

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Here, Given data are:

Height of cone for Brand A = 15 in.

Radius of cone of Brand A =6 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X6^2X15[/tex]

               V = 565.2 cu. in.

Height of cone for Brand B = 18 in.

Radius of cone of Brand B =5 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X5^2X18[/tex]

               V = 471 cu. in.

Volume of brand A > volume of brand B.

Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

Learn more about Cone from:

https://brainly.com/question/16394302

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