Read, analyze, draw and solve. 1. The base of a cone is 16 cm in radius and the slant height of the curved surface is 18 cm. Find its surface area.
Answers & Comments
utakmalaya
To solve the problem, we need to use the formula for the surface area of a cone:
Surface area = πr² + πrℓ
where r is the radius of the base and ℓ is the slant height.
Given that the base radius is 16 cm and the slant height is 18 cm, we can plug in the values into the formula and get:
Surface area = π(16)² + π(16)(18) Surface area = 256π + 288π Surface area = 544π
Therefore, the surface area of the cone is 544π square centimeters. We can also approximate this to 1708.8 square centimeters (using 3.14 as the value of π).
Answers & Comments
Surface area = πr² + πrℓ
where r is the radius of the base and ℓ is the slant height.
Given that the base radius is 16 cm and the slant height is 18 cm, we can plug in the values into the formula and get:
Surface area = π(16)² + π(16)(18)
Surface area = 256π + 288π
Surface area = 544π
Therefore, the surface area of the cone is 544π square centimeters. We can also approximate this to 1708.8 square centimeters (using 3.14 as the value of π).