Respuesta :
Answer:
V≈2,080cm^3 Hope I helped :)
Step-by-step explanation:
The volume of a cone of radius r and height h is:
V=1/3πr^2h
Since the circumference of Cam's head is 56
2πr=56
r=56/2π
r=28/π
The volume of the hat is therefore:
V=1/3π(28/π )^2(25)
V=1/3((28)^2/π)(25)
V=1/3(19,600/π)
V≈2,080cm^3
The volume of the Cam's hat measured in cubic centimetres is 2081 cm³
Volume of a cone:
The volume of a cone is as follows:
- v = 1 / 3 π r²h
where
h = height
r = radius
The circumference of the part of his head where the hat will rest is 56 cm. Let's find the radius
- circumference = 2πr
- 56 = 2 × π × r
- r = 28 / π
h = 25 cm
V = 1 / 3 × π × (28 / π )² × 25
V = 1 / 3 × π × 784 / π² × 25
V = 19600 / 3π
V = 19600 / 9.42
V = 2080.67940552
V ≈ 2081 cm³
learn more on volume here : https://brainly.com/question/16048559?referrer=searchResults
