Question

ons belo Situation Cone Diagrams 6 in need to be placed on the boxes. 1. Dylan used a styrofoam cone to make a floral arrangement. The cone had a radius of 4.5 Inches and a height of 6 inches. What is the volume of this cone? 4.5 in Shane used day to make a cone with a height of 6 inches and a diameter of 4.5 inches for a sculpture. What is the volume of this cone? 4.5 in 6 in. Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone? Grace made a cone for her sand castle with a radius of 6 inches and a height of 4.5 Inches. What is the volume of this cone? 6 in Type here to search ה 7 4:27 PM 10/6/2020

Answer 1

Check Explanation

Step-by-step explanation

The volume of cone is given as

Volume of a cone = ⅓ (πr²h)

where

r = radius of the cone

h = height of the cone

also note that radius of a cone = ½ (Diameter of the cone)

1) Dylan's cone

Radius = 4.5 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 4.5² × 6)

= ⅓ (381.7035)

= 127.23 in³

2) Shane's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 4.5 inches

Radius = ½ (4.5) = 2.25 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 2.25² × 6)

= ⅓ (95.426)

= 31.81 in³

3) Jake's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 6 inches

Radius = ½ (6) = 3 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 3² × 4.5)

= ⅓ (127.2345)

= 42.41 in³

4) Grace's cone

Radius = 6 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 6² × 4.5)

= ⅓ (508.938)

= 169.65 in³

Hope this Helps!!!