This topic focuses on calculating the volumes of circular 3D shapes at an advanced level, specifically spheres, cones, and cylinders. The problems involve computing formulas for volume using given dimensions, where the answers require applying the π value. Each question offers multiple choice options, likely to test the student's ability to use the correct volume formula based on shape and dimensions provided (e.g., radius, height). This is part of a broader curriculum on the volume and surface area of complex 3D shapes, designed to enhance understanding and application skills in geometry.

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

more
View

Volume - All Circular - Words to Pi Value Worksheet

Mobius Math Academy logo
Math worksheet on 'Volume - All Circular - Words 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
What is the volume of this shape?
A Sphere with radius 5
a A LaTex expression showing V = 4 over 3 Pi 5 to the power of 3
b A LaTex expression showing V = 4 Pi times 5 to the power of 2
2
What is the volume of this shape?
A Cone with radius 5 and a height of 2
a A LaTex expression showing V = 4 over 3 Pi 5 to the power of 3
b A LaTex expression showing V = 1 over 3 2 Pi 5 to the power of 2
3
What is the volume of this shape?
A Sphere with radius 2
a A LaTex expression showing V = 4 over 3 Pi 2 to the power of 3
b A LaTex expression showing V = Pi times 2 to the power of 2 times 3
4
What is the volume of this shape?
A Cylinder with radius 4 and height 2
a A LaTex expression showing V = Pi times 4 to the power of 2 times 2
b A LaTex expression showing V = Pi times 2 to the power of 2 times 4
5
What is the volume of this shape?
A Cylinder with radius 2 and height 4
a A LaTex expression showing V = Pi times 4 to the power of 2 times 2
b A LaTex expression showing V = Pi times 2 to the power of 2 times 4
6
What is the volume of this shape?
A Cone with radius 3 and a height of 4
a A LaTex expression showing V = 1 over 3 3 Pi 4 to the power of 2
b A LaTex expression showing V = 1 over 3 4 Pi 3 to the power of 2
7
What is the volume of this shape?
A Cone with radius 2 and a height of 3
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