Capicus9655 Capicus9655
  • 24-05-2019
  • Mathematics
contestada

The surface area of a cone is 16.8pi inches^2. The radius is 3 inches. What is the slant height?

Respuesta :

jdoe0001 jdoe0001
  • 24-05-2019

[tex]\bf \textit{surface area of a cone}\\\\ SA=\pi rs+\pi r^2~~ \begin{cases} r=&radius\\ s=&slant\\ &height\\ \cline{1-2} SA=&16.8\pi \\ r=&3 \end{cases}\implies 16.8\pi =\pi (3)s+\pi (3)^2 \\\\\\ 16.8\pi =3\pi s+9\pi\implies 16.8\pi -9\pi =3\pi s\implies 7.8\pi =3\pi s \\\\\\ \cfrac{7.8\pi }{3\pi }=s\implies 2.6=s[/tex]

Answer Link

Otras preguntas

How does misbehavior effect your school results negatively ?​
PLEASEE HELP PLEASEEE THANK YOU IF YOU DO! Cones and flowers are the principal reproductive organs in vascular plants. However, successful reproduction is also
Yo______Hacer el trabajo temprano A. Quise B. Quisiste C.Quiso D.Quisimos
Which block has a volume of 90 cm3?
Alejandro me________que queria usar mi bicicleta. A.dije B.dijiste C.dijo D.dijimos
Contrast or Parallel in war photographer by Satyamurti
HELP ASAP!!I WILL MARK YOU AS A BRILLIANT for my english class tomorrow1- Social Media: Talk about social media in general and its effects in the life of people
The graph below shows the numbers of visitors at a museum over six days.
Preston has to make four phone calls to clients today. the call to mr. miller will take about an hour to complete, the call to ms. winnecuit will take about fiv
(1) The woman stepped a puddle. (2) She looked into the beautiful forest scene that was spread out in front of her. (3) The bright green leaves on the tall tree