The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):

If the volume of the cone is 270pi and the height of the cone is 10, then:

The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:

The total volume is 513 pi cm^3
Answer:
the first one
Step-by-step explanation:
using y=mx+b, you can find which has a "bigger" slope.
Positive 2, positive 1, zero, negative 1, negative 2
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
<h3>The length of longer piece is 30 inches</h3>
<em><u>Solution:</u></em>
Let "x" be the length of longer piece
Let "y" be the length of shorter piece
<em><u>The length of a board is 55 inches</u></em>
Therefore,
x + y = 55 -------- eqn 1
<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>
Therefore,
x = 5 + y ------- eqn 2
Substitute eqn 2 in eqn 1
5 + y + y = 55
2y = 55 - 5
2y = 50
<h3>y = 25</h3>
Substitute y = 25 in eqn 1
x + 25 = 55
x = 55 - 25
<h3>x = 30</h3>
Thus the length of longer piece is 30 inches