Choice
D is correct.
The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.
The silo is made up of a cylinder with height 10 feet
(ft) and base radius 5 feet and two cones, each having height
5ft and base radius
5ft.
The formulas
V‌cylinder ‌=πr2h and
V‌cone ‌=‌πr2h can be used to determine the total volume of the silo.
since the two cones have identical dimensions,
the total volume, in cubic feet, of the silo is given by
V‌silo ‌=π(5)2(10)+(2)(‌)π(5)2(5)=(‌)(250)π, which is approximately equal to 1,047.2 cubic feet.
Choice
A is incorrect because this is the volume of only the two cones.
Choice
B is incorrect because this is the volume of only the cylinder.
Choice C is incorrect because this is the volume of only one of the cones plus the cylinder.