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:
C
Step-by-step explanation
5*x=5x -----5*2=10------5*3=15
Answer:
Hey
Definition:-
A square root is a number which produces a specific quantity when multiplied by itself.
Example:-
Suppose the area of a square of side 6 cm is given by 6 × 6 = 36 cm².
Therefore 36 is said to be the square of 6. We write 6² = 36 and we read the ‘the square root of 6 is 36' or simply ‘6 squared is 36.'
hope this helps
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V =
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h =
= 12
Area of square base = 10² = 100, hence
V =
× 100 × 12 = 4 × 100 = 400
Answer
I can't tell what you're asking but here is all the things
Step-by-step explanation:
Total Numbers: 10
Mean (Average): 7.9
SD: 4.38305
Variance (SD): 19.21111
Population SD: 4.15812
Variance(Population SD): 17.29