If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm​

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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