This is the concept of volumes of solid figures;
volume=length*width*height
the dimensions of our figure is:
length=15 1/2 in=31/2 in
width=10 1/4 in=41/4 in
height= 12 in
thus the volume will be:
volume=(31/2*41/4*12)
volume=1906 1/2 in^3
the answer is 1906 1/2 in^3
The area of a rectangle is:
A = length × width
A rectangular television screen has an area:
A = w² + 2w inches²
width = w
length = A / width = (w² + 2w) / w = w(w + 2) / w = <u>w + 2</u>
Ansver:
<h2><u>
length = w + 2</u></h2><h2><u>
</u></h2><h2><u>
</u></h2>
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:
x= 3 +
, 3 -
Step-by-step explanation:
You use the quadratic formula to get x= 
Then you simplify and get the answers x= 3 +
, 3 -