find the total surface area of a cone of radius 14cm and height 15cm
Answers
Total surface area of cone is 484 cm².
Step-by-step explanation:
Given :-
Slant height of cone is 15 cm.
Diameter of its base is 14 cm.
To find:-
Total surface area of cone.
Solution:-
Total surface area of cone = πrl + πr².
Here, r is radius of cone and l is slant height of cone.
Radius = Diameter/2
= 14/2
= 7
Radius of cone = 7 cm.
Slant height = 15 cm.
Put r and l in formula:
\longrightarrow π × 7 × 15 + π + (7)²
\longrightarrow 22/7 × 7 × 15 + 22/7 + (7)²
\longrightarrow 22 × 15 + 22/7 × 7 × 7
\longrightarrow 330 + 22×7
\longrightarrow 330 + 154
\longrightarrow 484
Therefore,
Total surface area of cone is 484 cm².
________________________
More formulas of cone :
Lateral surface area of cone = πrl.
Volume of cone = 1/3πr² h
Slant height of cone = √r² + h²
Hope it helps you...
Please mark me as BRAINLIEST to complete my level.
I really need it.