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Surface Area - All Circular - Image to Pi Value

Level 1

This math topic revolves around calculating the surface area of circular 3D shapes such as cylinders and cones. It requires understanding how to use formulas concerning circular dimensions and employs Pi (\(\pi\)) in the calculations. The exercise involves visual analysis through images of these shapes followed by selecting the correct surface area from provided answers, enhancing skills in reasoning and applying geometric formulas to solve real-life application problems.

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

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Surface Area - All Circular - Image to Pi Value Worksheet

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Math worksheet on 'Surface Area - All Circular - 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 Cylinder?
a A LaTex expression showing SA = 2 Pi times 3 times 4 + 2 Pi 3 to the power of 2
b A LaTex expression showing SA = 2 Pi times 4 times 3 + 2 Pi 4 to the power of 2
2
An svg image showing a math problem
What is the surface area of this Cylinder?
a A LaTex expression showing SA = 2 Pi times 3 times 2 + 2 Pi 3 to the power of 2
b A LaTex expression showing SA = 2 Pi times 2 times 3 + 2 Pi 2 to the power of 2
3
An svg image showing a math problem
What is the surface area of this Cylinder?
a A LaTex expression showing SA = 2 Pi times 5 times 4 + 2 Pi 5 to the power of 2
b A LaTex expression showing SA = 2 Pi times 4 times 5 + 2 Pi 4 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 3 times (3 + square root of 2 to the power of 2 + 3 to the power of 2 )
b A LaTex expression showing SA = Pi times 2 times (2 + square root of 3 to the power of 2 + 2 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 2 times (2 + square root of 4 to the power of 2 + 2 to the power of 2 )
b 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 )
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 2 to the power of 2 + 5 to the power of 2 )
b A LaTex expression showing SA = 2 Pi times 5 times 2 + 2 Pi 5 to the power of 2