Volume again. Sorry, I have over 50 questions and I have a hard time with volume...
+128475 First one
We need to find the height of the pyramid
Cone volume = (1/3) (3.14) * ( radius of cone )^2 * ( height of cone )
1884 = (1/3) (3.14) * (10)^2 * (height of cone)
1884 = (100/ 3)) (3.14) * height of cone
Divide both sides by (100/3) (3.14)
Height of cone = 1884 / [ (100/3) (3.14)] = 18 = height of pyramid
Volume of (square ) pyramid = (1/3) [ side of base ]^2 * 18 =
(1/3)* ( 20^2] * 18 = 2400 in^3
So....the difference is 2400 - 1884 = 516 in^3
+128475 Second.....easier than the first one !!!
Volume of cone = (1/3) 3.14 * ( radius of cone)^2 * height of cone =
(1/3) (3.14) * (2^2) * 6 = 25.12 (1)
Volume of cylinder = pi * radius^2 * height =
pi * 2^2 * 12 = 150.72 (2)
So....total volume is (1) + (2) = 175.84 in^3
+128475 Last one.....a little more conceptual
Radius of cylinder and hemisphere = r
Height of cylinder = h - r
Height of hemisphere = r
Total volume of cylinder = pi [ r^2] * [ h - r ]
Total volume of hemisphere = pi (4/3) (r^2) * (r) * (1/2) = (2/3) pi r^3 = pi ( 2/3) r^3
(2/3) pi r^3 + pi r^2 ( h - r ) ⇒ "C"
