Find the volume and surface area of the cone (to the nearest tenth)
![Find the volume and surface area of the cone to the nearest tenth class=](https://us-static.z-dn.net/files/d99/d559ef9de61f1984a950390727d2e1d1.png)
Answer:
Surface area of cone = 286.55 cm² (Approx.)
Volume of cone = 263.89 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of cone = 7 cm
Diameter of cone = 12 cm
Find:
Surface area of cone
Volume of cone
Computation:
Radius of cone = 12 / 2 = 6 cm
Surface area of cone = πr(l +r)
Surface area of cone = (3.14)(6)[(√7² + 6²) + 6]
Surface area of cone = 18.84[15.21]
Surface area of cone = 286.55 cm² (Approx.)
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone = (1/3)(3.14)(6²)(7)
Volume of cone = (1/3)(3.14)(36)(7)
Volume of cone = 263.89 cm³ (Approx.)