Question

The curved surface area of a cone is 550 sq.cm. and the total surface area is

704 sq.cm. Find the radius and height of the cone.please answer fast.​

Answer 1

Answer:

Total surface area of cone=πr

2

+πrl (r=Radius, l=slant height)

⇒704=πr(l+r)

⇒704=

7

22

×7(7+x)

⇒

22

704

−7=l

⇒l=25cm.

Step-by-step explanation:

Hope it's helpful for you buddy

Answer 2

ANSWER :-

• Radius of the cone is 7 cm.

EXPLANATION :-

GIVEN :-

• CSA of cone = 550 cm²

• TSA of cone = 704 cm²

TO FIND:-

• Radius of the cone.

SOLUTION :-

• Let the radius of the cone be r cm.

Formulas Used :-

${\boxed{\sf{CSA\:of\:cone=\pi\:rl}}}$

${\boxed{\sf{TSA\:of\:cone=\pi\:r(r+l)}}}$

Where,

r = Radius

l = Slant height

According to the question,

$\sf{\pi\:rl=550...(i)}$

$\sf{\pi\:r(r+l)=704...(ii)}$

✪ Now taking eq(ii) ✪

$\sf{\pi\:r(r+l)=704}$

$\implies\sf{\pi\:r^2+\pi\:rl=704}$

$\implies\sf{\frac{22}{7}r^2+550=704\:[putting\:\pi\:rl=550\: from\:eq(i)}$

$\implies\sf{\frac{22}{7}r^2=704-550}$

$\implies\sf{\frac{22}{7}r^2=154}$

$\implies\sf{r^2=154\times\frac{7}{22}}$

$\implies\sf{r^2=7\times\:7}$

$\implies\sf{r=7}$

Therefore, radius of the cone is 7 cm.

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MORE INFORMATION :

✪ Volume of cone =1/3 πr²h

✪ Volume of cylinder = πr²h

✪ CSA of cylinder = 2πrh

✪ TSA of cylinder = 2πr(h+r)

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