Geometry 10.7 Surface Area and Volume of Spheres

Geometry 10.7 Surface Area and Volume of Spheres

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LEQ

How do we find the surface area and volume of a sphere?

4 circles of area

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1. Surface Area of a Sphere

Spheres can not be made into a net easily, so we use a specific formula to find their surface area.

Examples:

​1. Find the surface area of the sphere with a radius of 2.8 m.

​2. Find the surface area of the sphere with a diameter of 24 mm.

Multiple Choice

Find the surface area when the radius is 25 cm.

• 2500.29 cm²

• 2503.45 cm³

• 7853.98 cm²

• 7854 cm³

Multiple Choice

What is the surface area of a baseball with a 3 inch diameter.

• 28.3 in²

• 113.1 in²

• 18.8 in²

• 15.6 in²

2.Volume of a Sphere

Spheres don't follow the B∙h pattern, so we use a specific formula for spheres.

Examples:

​1. Find the volume of the sphere with a radius of 2.8 m.

​2. Find the volume of the sphere with a diameter of 24 mm.

Multiple Choice

What is the formula for a sphere.

• $$V\ =\ \pi r^2h$$

• $$V=\ \frac{1}{3}\pi r^2$$

• $$V\ =\ \frac{4}{3}\pi r^3$$

• $$V\ =\ \pi r^2$$

Multiple Choice

Find the volume of the sphere

• 5575.28cm³

• 44602.24cm³

• 4188.79cm³

• 1520.53cm³

Multiple Choice

Find the surface area of the sphere.

• $$256\pi$$

• $$64\pi$$

• $$128\pi$$

• $$32\pi$$

Multiple Choice

Find the volume of the sphere.

• $$256\pi$$

• $$\frac{64\pi}{3}$$

• $$\frac{256\pi}{3}$$

• $$\frac{1024\pi}{3}$$

• $$\frac{2048\pi}{3}$$

Multiple Choice

Find the volume of the sphere with a surface area of $$324\pi$$  

• $$256\pi$$

• $$972\pi$$

• $$108\pi$$

• $$36\pi$$

Fill in the Blanks

A ball has a circumference of 12.6 inches. Find the surface area to the nearest tenth.

Fill in the Blanks

A ball has a circumference of 12.6 inches. Find the volume to the nearest tenth.

Complete the assignment in Formative for 10.7