Instructions
Welcome to your Dragon Ball Geometry Adventure! In this worksheet, you'll solve geometric problems inspired by the Dragon Ball universe. Remember to show your work!
1. Area of Dragon Balls
The Dragon Balls are spherical in shape. To find the area of a sphere, you can use the formula:
Surface Area = 4πr²
Assuming the radius of a Dragon Ball is 3 cm, calculate the surface area.
Surface Area:
2. Vegeta's Training Area
Vegeta's training area is a rectangle that measures 50 meters in length and 20 meters in width. Calculate the perimeter and area of the training area.
Perimeter:
Area:
3. The Capsule Corporation
The Capsule Corporation building is in the shape of a cylinder. If the height of the building is 30 meters and the radius is 5 meters, calculate the volume using the formula:
Volume = πr²h
Volume:
4. Goku's Flying Path
Goku flies in a circular pattern around King Kai's planet. If the radius of the circle is 10 km, find the circumference of the path he takes using the formula:
Circumference = 2πr
Circumference:
5. The Power of Angles
During a fight, Gohan's Kamehameha wave creates an angle of 60 degrees with the ground. If the length of the wave is 20 meters, find the height reached by the wave using trigonometry:
(Hint: Height = Length × sin(angle))
Height:
Challenge Question
If the distance from Earth to Namek is approximately 900,000 km, and Goku travels in a straight line, what would be the shortest path he could take assuming that the Earth and Namek are aligned? (Think geometry!) Write your reasoning and answer below:
Response: