Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
Answer:
2 fluid ounce/hour
Step-by-step explanation:
2 hours to 5 hours ; 3 hours apart
leaks: 48 -42 = 6 fluid ounce
rate of leak = 6/3 = 2 fluid ounce/hour
First, multiply the top equation by 2 and bottom by -3.
60x+60y=900
-60x-75y=-1035
————————
-15y=-135
—————-
-15=-15
y=9
So the answer should be 9.
Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:
Where <em>m </em>is the slope and <em>b </em>is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting 
and 
into the equation, you obtain:
Then, the equation is:
As this is a line, it is a linear function.
Therefore, the second option and the third option are true.
Answer:
<h3>
x=144</h3>
Step-by-step explanation:
h²=65²-25²=4225-625=3600
h²=x*25
x=h²:25
x=3600:25
<h3>
x=144</h3>
