Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere = 
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere

Given
height h = 19 in
radius r = 5 in
= 
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³

= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³
Answer:
Jason has 10 dimes and 2 nickels
because each dime equals 10 cent
and each nickel equals 5 cent
10×10= 100
2×5= 10
100+10= 110 add the decimal =$1.10
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:

where:
- A = final amount
- P = initial principal balance
- r = annual interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods
Given:
- P = $600
- r = 7% = 0.07
- n = 4
- t = 4
Substituting given values into the formula:


Equivalent interest rate:

Number of times compounded:

Answer: A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets. Listing the sets is fine if you have only a few elements.