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What is the lateral area of the cone?Round nearest whole, round all intermediate values to four decimals.

What is the lateral area of the cone?Round nearest whole, round all intermediate values-example-1
User Ponjoh
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1 Answer

23 votes
23 votes

To answer this question, we can use the next formula to find the lateral area of the cone:


A_L=\pi r\sqrt[]{h^2+r^2}

Where:

• π is approximately 3.1415926535...

,

• r = D/2. We have that the diameter is 6ft.

,

• h = height. In this case, we have h = 7ft.

We have a right circular cone, and we can use the above formula. Then, we have:


D=6ft\Rightarrow r=(D)/(2)\Rightarrow r=(6ft)/(2)\Rightarrow r=3ft

Then, we have:


A_L=\pi\cdot3\cdot\sqrt[]{7^2+3^2}\Rightarrow A_L=\pi\cdot3\cdot\sqrt[]{49+9}=\pi\cdot3\cdot\sqrt[]{58}
√(58)=7.61577310586\approx7.6158

Then:


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User Lcguida
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