your bank balance is 102 35 and you just made a purchase for $20 30 $3.33 and $52.80 you didn't made a deposit of $25 and $24.75
1 answer:
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3x - 6 = 7x + 18
(Move terms)
3x - 7x = 18 + 6
(Collect the terms)
(Calculate the sum)
-4x = 24
(Divide both sides by -4)
x = -6
(Move terms)
3x - 7x = 18 + 6
(Collect the terms)
(Calculate the sum)
-4x = 24
(Divide both sides by -4)
x = -6
Answer:
a) The volume of the sphere is approximately 14,137.16694 which is 14,140 cm³ correct to 4 significant figures
b) The volume of water required to fill the tank is approximately 103,670 cm³
Step-by-step explanation:
a) In the question, the radius of the sphere, r = 15 cm
The formula for the volume, 'V', of a sphere is given as follows;
Where;
r = The radius of the the sphere
V = The volume of the sphere
Plugging in the value for the radius, 'r', of the sphere, in the equation for, 'V', we get;
Therefore;
The volume of the sphere to 4 significant figures is V ≈ 14,140 cm³
b) The parameters of the cylindrical tank are;
The height of the cylindrical tank, h = 60 cm
The radius of the cylindrical tank, r = 25 cm
The volume of a cylinder, V = π·r²·h
∴ The volume of the cylindrical tank without water, '', is given as follows;
= π × (25 cm)² × 60 cm ≈ 117809.72451 cm³
The volume of water, , required to fill the tank with the sphere of volume 'V' placed inside is given as follows
= V +
∴ =
- V
From which we get;
≈ 117809.72451 cm³ - 14,140 cm³ = 103,669.72451 cm³ ≈ 103,670 cm³
The volume of water required to fill the tank, ≈ 103,670 cm³.
Answer:
quadratic binomial