Right cone (a three-dimensional figure) has a circle base with the apex alligned at 90° above the center of the base.- 1 base
Height of a Right Cone formula |
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| \( h \;=\; 3 \cdot \dfrac{ V }{ \pi \cdot r^2 } \) | ||
| Symbol | English | Metric |
| \( h \) = height | \( in \) | \( mm \) |
| \( r \) = radius | \( in \) | \( mm \) |
| \( V \) = volume | \( in^3 \) | \( mm^3 \) |
Slant Height of a Right Cone formula |
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| \( s \;=\; \sqrt{ r^2 + h^2 }\) | ||
| Symbol | English | Metric |
| \( s \) = slant height | \( in \) | \( mm \) |
| \( A \) = area | \( in^2 \) | \( mm^2 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( r \) = radius | \( in \) | \( mm \) |
Surface Area of a Right Cone formula |
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| \( A_s \;=\; \pi \cdot r \cdot \left( r + \sqrt{ h^2 + r^2 } \right) \) | ||
| Symbol | English | Metric |
| \( A_s \) = surface area | \( in^2 \) | \( mm^2 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
| \( r \) = radius | \( in \) | \( mm \) |
Volume of a Right Cone formulas |
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\( V = \dfrac {1}{3} \cdot \pi \cdot r^2 \) \( V = \cfrac {1}{3} \cdot b \cdot h \) |
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| Symbol | English | Metric |
| \( V \) = volume | \( in^3 \) | \( mm^3 \) |
| \( b \) = base area | \( in^2 \) | \( mm^2 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
| \( r \) = radius | \( in \) | \( mm \) |
