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The slant height of a right circular cone is 9.32cm and the radius of the circular base is 3cm. Calculate

a. The base diameter of the cone
b. The perpendicular height of the cone
c. The total surface area of the cone

(a) d = 2r

(b) r^2+h^2 = s^2 where s is the slant height
(c) A = πr^2 + πrs

Did you know?

Did you know that the slant height of a right circular cone is a key measurement in calculating its dimensions and surface area? Using the given information that the slant height is 9.32cm and the radius of the circular base is 3cm, we can determine various properties of the cone. By multiplying the radius by 2, we can find that the base diameter is 6cm. Additionally, using the Pythagorean theorem, we can find the perpendicular height of the cone to be approximately 8.91cm. To calculate the total surface area, we need to consider the curved surface area, which can be found using the formula πrl, where r is the radius and l is the slant height. Finally, adding the area of the base (πr²) to the curved surface area will yield the total surface area of the cone.