Question

PLEASE HELP!

Answer 1

Answer:

Step-by-step explanation:

Cone:

    diameter = 12 cm

                  r =  12 ÷ 2 = 6 cm

                 h = 6 cm

      $\sf \boxed{\text{\bf Volume of cone = \dfrac{1}{3} \pi r^2h }}$

                                    $\sf = \dfrac{1}{3}*3.14*6*6*6\\\\ = 226.08 \ cm^3$

To find the surface area, we need to find the slant 'l'

       $\sf l = \sqrt{h^2+r^2}\\\\ =\sqrt{6^2+6^2}\\\\ = \sqrt{36+36}\\\\ =\sqrt{72}\\\\= 8.49 \ cm$

       $\sf \boxed{\text{\bf Total surface area of cone = \pi r(r+l) }}$

                                                         = 3.14 * 6 * (6 + 8.49)

                                                        = 3.14 * 6 * 14.49

                                                        = 273 cm²