1. The formula for calculate the area of a cone is:
A=πr²+πrl (1)
A is the area (A=395.64 m²).
π=3.14
r is the radius (r=7).
l is the height.
2. The formula for calculate the slant height of the cone, is given by the Pythagorean theorem:
h²=l²+r²
h=√(l²+r²) (2)
h is the slant height.
3. We don't know the value of "l", so:
- We must rewrite the formula (1) and clear "l":
A=πr²+πrl
A-πr²=πrl
l=A-πr²/πr
- Now, we must susbtitute l=A-πr²/πr, into the formula (2). Then, we have:
h=√(l²+r²)
h=√[(A-πr²/πr)²+r²]
A=395.64 m²
π=3.14
r=7
4. When we substitute the values above into the formula h=√[(A-πr²/πr)²+r²], we obtain the slant height:
h=√[(A-πr²/πr)²+r²]
h=√170
h=13
<span>
What is the slant height?
The answer is: D.13</span>
Answer:
1005.3 cm³
Step-by-step explanation:
The radius of the cone (r) is 8 cm and the slant height is AC = AB = 17 cm.
Therefore, the height of the cone (h) will be given by 
cm.
We have to calculate the volume of the cone.
Therefore, the volume of the cone will be given by 
= 
= 1005.3 cm³ (Answer)
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Answer:
He has 7 days
Step-by-step explanation:
He consumes 1/8 cups of berries per day, 1/8=1 day
He has 7/8 cups of berries
To get the number of days it takes for 7/8 cups
Number of days=(Number of cups of berries he has)/(The number of berries he consumes in a day)
(7/8)÷(1/8)=(7/8)×8=7 days
