The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere
cubic cm.
The volume of the half-sphere
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
32 divided by 4 = 8,
8^2 + 8^2 = 128
128: 11^2 = 121 close enough, 11 is your answer
We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.
Answer:
V = 100π
Step-by-step explanation:
The volume of a cone is V = (
)
1) 
2) 
3) 100π
a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The general form for arithmetic sequence is:

Putting the values for a_1 and d

<u>a) Find a15</u>

<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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The answer for this problem is 43