A cylindrical glass has a radius of 3 centimeters and a height of 7 centimeters.
A large cylindrical jar full of water is a similar shape to the glass.
The glass can be filled with water from the jar exactly 216 times.
Work out the radius and height of the jar.
Answers
Answer:
The radius of a cylindrical glass is 3 cm and a height of 7 cm. A large cylindrical jar filled with water has a glass-like shape. The glass can be filled with water exactly 216 times from the jar. What is the radius and height of the jar?
Volume of the glass = π r^2 h
= π * 3 * 3 * 7
Volume of the jar = π R^2 H
Given volume of the jar is 216 times of the glass
π R ^2 H = 216 * π * 3 * 3 * 7 …(1)
Since the jar is a similar shape to glass we know
R/H = r/h = 3/7
From (1)
3x * 3x * 7x = 216 * 3 * 3 * 7
x^3 = 216
x = 6
Radius of the jar = 3x = 3*6 = 18cm
Height of the jar = 7x = 7*6 = 42cm
Step-by-step explanation:
hope this helps u
Step-by-step explanation:
The radius of a cylindrical glass is 3 cm and a height of 7 cm. A large cylindrical jar filled with water has a glass-like shape. The glass can be filled with water exactly 216 times from the jar. What is the radius and height of the jar?
Volume of the glass = π r^2 h
= π * 3 * 3 * 7
Volume of the jar = π R^2 H
Given volume of the jar is 216 times of the glass
π R ^2 H = 216 * π * 3 * 3 * 7 …(1)
Since the jar is a similar shape to glass we know
R/H = r/h = 3/7
From (1)
3x * 3x * 7x = 216 * 3 * 3 * 7
x^3 = 216
x = 6
Radius of the jar = 3x = 3*6 = 18cm
Height of the jar = 7x = 7*6 = 42cm