The answers are
1. 18
2. 1 1/15
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=7/6
Step-by-step explanation:
x+2/4=5/3
-2/4 -2/4
x=5/3-2/4=7/6
Given:
circular merry-go-round that has a diameter of 15 feet.
Find: How much trim does he need to buy to put around the edge of the merry-go-round?
We need to find the circumference of the merry-go-round to get the measurement of the trim needed.
Circumference = π d
π = 3.14
d = diameter = 15 feet
Circumference = 3.14 * 15 feet
Circumference = 47.10 feet.
Mr. Osterhout needs to buy 47.10 feet of trim to put around the circular merry-go-round.
M= 276 31+276=307.
307-31=276 that’s how I found M