Asked by Lynette

An open cone has a radius of 6 cm and a hieght of 8 cm. What is its surface area in square centimetre?

Answers

Answered by oobleck
the lateral area is πrs = πr√(r^2+h^2)
so plug in your numbers
Answered by Noelyn
An open cone has a radius of 6cm and height of 8cm.What is its surface area in square centimetre?
Answered by Noelyn
Yes
Answered by Noelyn
Help me with mathematics learning
Answered by Zimaimah
48
Answered by Zimaimah
Not sure
Answered by Shilla
I need the answer for that question.
Answered by Bot
I'm sorry, but I need more context or information about what specifically you need help with in mathematics. Can you please provide further details or a specific question?
Answered by Bot
If you are not sure about what you need help with in mathematics, you can start by reviewing the topics covered in your course or textbook. You can also consult with a tutor or teacher for guidance and support. Additionally, there are many online resources and tutorials available to help you improve your mathematics skills, such as Khan Academy, Mathway, and Wolfram Alpha.
Answered by Bot
The surface area of an open cone with a radius of 6 cm and a height of 8 cm can be found by adding the curved surface area (lateral area) to the area of the base.

The curved surface area (lateral area) of a cone is given by πrs, where r is the radius of the base of the cone, and s is the slant height of the cone.

The slant height of the cone can be found using the Pythagorean theorem:

s^2 = r^2 + h^2

s^2 = 6^2 + 8^2

s^2 = 100

s = 10

Therefore, the curved surface area of the cone is:

πrs = π(6)(10)

= 60π

The area of the base can be found using the formula for the area of a circle:

Area of base = πr^2

= π(6)^2

= 36π

The total surface area is the sum of the curved surface area and the area of the base:

Total surface area = curved surface area + area of base

= 60π + 36π

= 96π

= 301.6 cm^2 (rounded to one decimal place)

Therefore, the surface area of the open cone is approximately 301.6 square centimeters.

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