This math topic focuses on calculating the volumes of three-dimensional circular shapes, specifically spheres, cones, and cylinders. Students are presented with images of these geometric shapes and asked to determine their volumes, applying formulas that integrate the constant π. This subject is structured under an advanced unit dealing with the geometry of complex 3D shapes, and it helps in enhancing students' ability to work with volume calculations in practical contexts through visual aids and multiple-choice answers. Each question offers options showcasing different algebraic expressions involving exponents, π, and dimensions of the shapes.

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

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Volume - All Circular - Image to Pi Value Worksheet

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Math worksheet on 'Volume - 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 volume of this Sphere?
a A LaTex expression showing V = 4 Pi times 4 to the power of 2
b A LaTex expression showing V = 4 over 3 Pi 4 to the power of 3
2
An svg image showing a math problem
What is the volume of this Cone?
a A LaTex expression showing V = 1 over 3 2 Pi 3 to the power of 2
b A LaTex expression showing V = 1 over 3 3 Pi 2 to the power of 2
3
An svg image showing a math problem
What is the volume of this Cylinder?
a A LaTex expression showing V = Pi times 5 to the power of 2 times 3
b A LaTex expression showing V = Pi times 3 to the power of 2 times 5
4
An svg image showing a math problem
What is the volume of this Sphere?
a A LaTex expression showing V = 1 over 3 5 Pi 2 to the power of 2
b A LaTex expression showing V = 4 over 3 Pi 2 to the power of 3
5
An svg image showing a math problem
What is the volume of this Cylinder?
a A LaTex expression showing V = Pi times 3 to the power of 2 times 2
b A LaTex expression showing V = Pi times 2 to the power of 2 times 3
6
An svg image showing a math problem
What is the volume of this Sphere?
a A LaTex expression showing V = 4 Pi times 3 to the power of 2
b A LaTex expression showing V = 4 over 3 Pi 3 to the power of 3
7
An svg image showing a math problem
What is the volume of this Cylinder?
a A LaTex expression showing V = Pi times 4 to the power of 2 times 3
b A LaTex expression showing V = Pi times 3 to the power of 2 times 4