Shortcut Methods
Shortcut Methods and Tricks to Solve Numerical Examples
For JEE Main:
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Total Leaf Area:
- Shortcut: Multiply the number of leaves by the leaf area per leaf.
-
Volume of a Cylinder (Tree Trunk):
- Trick: Consider the trunk as a cylinder and use the formula for the volume of a cylinder: $V = \pi r^2 h$, where $r$ is the radius of the trunk and $h$ is the height of the trunk.
-
Total Leaf Area with Leaf Area Index (LAI):
- Shortcut: Multiply the ground area by the leaf area index.
For CBSE Board:
-
Area of a Rectangle (Leaf):
- Formula: $A = length \times width$
-
Radius of a Circle (Tree Trunk):
- Formula: $r = circumference \div 2 \pi$. Where $r$ is the radius and circumference is the length of the circumference of the circular trunk.
-
Leaf Area Ratio (LAR):
- Shortcut: Divide the total leaf area by the height of the plant.
For Additional Numerical Examples:
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Total Leaf Area with Branches and Leaves:
- Shortcut: Multiply the number of branches by the number of leaves per branch and then multiply by the leaf area per leaf.
-
Volume of a Cylinder (Tree Trunk):
- Trick: Consider the trunk as a cylinder and use the formula for the volume of a cylinder: $V = \pi r^2 h$, where $r$ is the radius of the trunk, and $h$ is the height of the trunk.
-
Total Leaf Area with Leaf Area Index (LAI):
- Shortcut: Multiply the ground area by the leaf area index.
