Find the volume and surface area of the cone (to the nearest tenth)

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.)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.