Step-by-step explanation:
1) 7/23 + 11/23 + 9/23
7+11+9/23
27/23
= 1 4/23
2) 2 5/7 + 9 4/7
11 9/7
= 11.12
3) 9/20 + 3/5
9+12/20
21/20
= 1 1/20 or 1.05
Answer:
600 m³
Step-by-step explanation:
The shape we have is a rectangular pyramid:
Formula:<u><em> (volume of a rectangular pyramid)</em></u>
Volume = (1/3) × Base Area × height
___________________________
In our case :
Base area = L × W = 20 × 18 = 360 m²
height = 5 m
⇒ Volume = (1/3) × Base Area × height
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
<h3>What is the height of the oblique cylinder?</h3>
From Cavalieri's principle, the volume of an oblique cylinder is expressed as;
V = base area × h
V = πr² × h
Given that;
- Radius r = 9cm
- Volume of the oblique cylinder V = 486πcm³
- Height of the oblique cylinder h = ?
V = πr² × h
486πcm³ = π × ( 9cm )² × h
486πcm³ = π × 81cm² × h
486πcm³ = 81πcm² × h
h = 486πcm³ / 81πcm²
h = 6cm
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
Learn more on volume of cylinder here: brainly.com/question/16788902
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12^2 + 6^2 = x^2
144 + 36 = x^2
180 = x^2
13.416407865 = x
rounded
x = 13.4
