A cone has the diameter of 15 inches and is 27 inches tall what is the volume for the cone?

the volume of a cone = 1589.625feet³

Step-by-step explanation:

given that the diameter of the cone = 15inches

radius = 15inches/2 = 7.5inches

height of the cone = 27 inches

volume of the cone = ?

recall that

the  formulae for finding the volume of a cone is given to be

= 1/3πr²h

the volume of a cone = πr² h/3

the volume of a cone = 3.14  × ( 7.5)² × 27/3

the volume of a cone = (3.14 x  56.25 x27)/3

the volume of a cone = 4768.875/3

the volume of a cone = 1589.625feet³

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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