Ryan's Volume Scribe Post

The questions I answered were numbers 4, 6, 8 in the homework book (pg. 80-81).

4. Calculate the volume of each rectangular prism.

a) l = 15 cm, w = 12 cm, h = 3 cm

v = l x w x h

v = 15 x 12 x 3

v = 180 x 3

v = 540cm3

Jumbo
r = d/2
r = 20 / 2
r = 10cm

v = (πr²) x h
v = (3.14 x 10²) x 40
v = (3.14 x 100) x 40
v = 314 x 40
v = 12, 560cm<sup>3

Popcorn Lover's
r = d/2
r = 30/2
r = 15cm

v = (πr^2) x h
v = (3.14 x 15^2) x 20
v = (3.14 x 225) x 20
v = 706.5 x 20
v = 14, 130cm^3

Popcorn Lover's has more space.</sup>

Full Circle

r = d/2

r = 1/2

r = 0.5m

v = (πr^2) x h

v = (3.14 x 0.5^2) x 10

v = (3.14 x 0.25) x 10

v = 0.785 x 10

v = 7.9m^3

"Hole" Circle

r = d/2

r = 0.8/2

r = 0.4m

v = (πr^2) x h

v = (3.14 x 0.4^2) x 10

v = (3.14 x 0.16) x 10

v = 0.5024 x 10

v = 5.1m^3

7.9 - 5.1 = 2.8m^3

Concrete volume is 2.8m^3.