This math topic focuses on calculating the surface area of cones. It includes problems where the learner must determine the surface area based on given diagrams of cones, using formulas that involve pi, square roots, and exponents. The problems are designed for advanced understanding under the broader unit of Geometry, specifically targeting the volume and surface area of complex 3D shapes.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Surface Area - Cone - Image to Pi Value Worksheet

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Math worksheet on 'Surface Area - Cone - Image to Pi Value (Level 1)'. Part of a broader unit on 'Geometry - Volume and Surface Area of Complex 3D Shapes - Advanced' Learn online: app.mobius.academy/math/units/geometry_complex_3d_shapes_advanced/
1
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 3 times (3 + square root of 2 to the power of 2 + 3 to the power of 2 )
b A LaTex expression showing SA = 1 over 3 2 Pi 3 to the power of 2
2
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 5 times (5 + square root of 3 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = Pi times 3 times (3 + square root of 5 to the power of 2 + 3 to the power of 2 )
3
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 5 times (5 + square root of 2 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = Pi times 2 times (2 + square root of 5 to the power of 2 + 2 to the power of 2 )
4
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 5 times (5 + square root of 4 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = Pi times 4 times (4 + square root of 5 to the power of 2 + 4 to the power of 2 )
5
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 5 times (5 + square root of 3 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = Pi times 3 times (3 + square root of 5 to the power of 2 + 3 to the power of 2 )
6
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 4 times (4 + square root of 2 to the power of 2 + 4 to the power of 2 )
b A LaTex expression showing SA = 1 over 3 2 Pi 4 to the power of 2
7
An svg image showing a math problem
What is the surface area of this Cone?
a A LaTex expression showing SA = Pi times 5 times (5 + square root of 4 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = Pi times 4 times (4 + square root of 5 to the power of 2 + 4 to the power of 2 )