Find the volume of this object.

Mathematics

1 answer:

vredina [299]3 years ago

7 0

Answer:

504 ft^3

Step-by-step explanation:

Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.

Let's start with the cylinder:

V(cylinder) = pi*r^2*h

pi = 3

d = 4ft

r = d/2 = 4/2 = 2ft

h = 12ft

V(cylinder) = (3)*(2^2)*(12)

V(cylinder) = 3*4*12

V(cylinder) = 144 ft^3

Now the rectangular prism:

V(rectangular prism) = l*w*h

l = 10ft

w = 6ft

h = 6ft

V(rectangular prism) = 10*6*6

V(rectangular prism) = 360 ft^3

Now we can add them together:

V(total) = 360 + 144

V(total) = 504 ft^3

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