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 did African Americans challenge segregation after world war 2?
The floor in Lila's bedroom is 30 square yards. Calculate the area in square feet
A male rabbit has white hair; a female has brown hair. What do you think the most likey color of their offspring is?
mrs. sanchez is given a $550 hiring bonus with a new job. she earns an average commission of $274 per week. If $68 is subtracted each week for taxes benefits, h
if a handsaw does the same amount of work on a log as a chainsaw does, which has more power why?
estimate the product of 51 and 48
Distinguish between the terms "insoluble" and "unsaturated." Give an example to illustrate each term.
3y+4=11y PLEASE STEP BY STEP: SHOW WORK PLEASE AND THANK YOU !!
What improvements in technology have resulted in smaller hearing aids? What are the advantages of smaller hearing aids?
A male rabbit has white hair; a female has brown hair. What do you think the most likey color of their offspring is?