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:

Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

We have:

Substitute:
<em>cross multiply</em>

Use the Pythagorean theorem:

Substitute:

ANSWER : ABOUT 8 MINUTES
0.92 * 8 = 7.36
Answer: 80
1 hour= 60mins
So to know how many words can she type in 1 min, we do the math "4800 : 60"
Answer:
The coordinates are ( 4, -3).
Step-by-step explanation:
We can find the coordinates by solving the 2 equations
y = 1/4x-4
y = -1/2x-1
As both left sides of the equation are y we can say:
-1/2x-1 = 1/4x-4
-1/2x - 1/4x = -4 + 1
-3/4 x = -3
x = -3 * -4/3
x = 4.
- and y = 1/4(4) - 4 = -3.