Answer:
Volume of the shaded area = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded area = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of the base of the pyramid = 15 units
w = width of the base of the pyramid = 10 units
h = height of pyramid = 12 units
Substituting the values helps find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded area = (600 - 36π) units³
<span>The answer is 2.4. Performing the division 6 by 2.5 gives a result of 2.4.</span>
The likely equation for the ellipse is given by
This can be parameterized as a segment of the curve using
with 
. Then we can proceed with
and other related calculations.
The correct option is the third one. In this situation, x+1 being inside "parentheses" indicates that the 1 shifts the graph horizontally, which eliminates option one. Although it states x+1, graphically this implies the opposite shift. Typically, one would expect to move right by one, but due to the "opposite" sign, it actually translates to a leftward movement by one. (Mathematics can be perplexing; I'm not sure why)
