<h3>Given:</h3>
- Hemisphere ×2 or sphere
- Cylinder
<h3>Solution:</h3><h3>Volume of the sphere:</h3>
<h3>Volume of the cylinder:</h3>
<h3>Total volume:</h3>
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>108.91</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>
Volume is equal mass by density
Answer:
A. Less than 5
Step-by-step explanation:
5/1 x 7/8 =
35/8 =
4 3/8
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
First you want to find the area of the square, which would be 121. ( 11 x 11 )
Next you want to find the area of the circle, 78.54 ((pi)5^2)
Last, you want to subtract the area of the circle, from the area of the square that is shaded. Youre left with 42.46
Hope this helped
