Answer:
V = 1206.3 
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = 
x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) = x 
x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone = 
. This is the area of the circular part of the cone (
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) = 
(On the top it's x x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
Answer:
<em>A. 35 deg</em>
Step-by-step explanation:
The triangles are congruent bu HL.
m<RCD = m<PCD = 35 deg
As the ratio of your shadow to your height is 2:1 assuming the flagpole would form a similar triangle the shadow is twice the height of the pole meaning the pole is 14 feet tall
