Respuesta :
Answer:
11
Step-by-step explanation:
1/3 nr^2h = volume of a cone
1/3 x 22/7 x 14 x r^2 = 440
r^2 = 440 x 3 x 7/22 x 1/14
r^2 = 30
r = 30
r = 5
The base diameter to the nearest whole number is 11cm
The volume of a cone
The formula for calculating the volume of a cone is expressed as:
V =1/3πr²h
Given the folllowing parameters
V = 440cm^3
h = 14cm
Substitute the given parameters
440 = 1/3(22/7) * 14r²
440 = 44/3 * r²
10 = r²/3
r² = 30
r = 5.5cm
d = 11cm
Hence the base diameter to the nearest whole number is 11cm
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