Answer:
480 cm^3
Step-by-step explanation:
Total volume is the sum of the volumes of the 3 cuboids.
Cuboid at the bottom:
V = l×b×h
V = 12 × 5 × 4 = 240
Both on top are identical.
Their height is 10-4= 6 cm
Each has volume = 5×4×6 = 120
Total Volume = 240 + 120 + 120
= 480 cm^3
Answer:
C. 94.2 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Define</u>
r = 15 cm
<u>Step 2: Find </u><em><u>C</u></em>
- Substitute [C]: C = 2π(15 cm)
- Multiply: C = 30π cm
- Multiply: C = 94.2 cm
Answer:
20,176,803
Step-by-step explanation:
This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...
Sn = a1·(r^n -1)/(r -1)
For a1=3, n=9, and r=7, the sum is ...
S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803
The sum of the first 9 terms is 20,176,803.
_____
The first 9 terms are ...
3 +21 +147 +1029 +7203 +
50,421 +352,947 +2,470,629 +17,294,403
