Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0
= > 7a^2 + 10a - 152 = 0
= > 7a^2 + ( 38 - 28 )a - 152 = 0
= > 7a^2 + 38a - 28a - 152 = 0
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0
= > ( a - 4 )( 7a + 38 ) = 0
= > a = 4 or - 38 / 7
Hence the required number is 4.
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
Answer:
Surface area = 1808.64in² and volume is 7234.56in³
Step-by-step explanation:
The figure above is a sphere, and it has a diameter of 24in
Radius = ?
Radius = diameter / 2
R = 24 / 2
R = 12in
Surface area of of sphere = 4πr²
Volume of a sphere = 4/3 πr³
π = 3.14
1. Surface area = 4 * 3.14 * 12²
Surface area = 4 * 3.14 * 144
Surface area = 1808.64in²
2. Volume of the sphere = 4/3πr³
Volume = 4/3 * 3.14 * 12³
Volume = 4/3 * 3.14 * 1728
Volume = 7234.56in³
The surface area of the sphere is 1808.64in² and the volume is 7234
56in³
Answer:
Step-by-step explanation:
pitch=4/12=1/3
