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Find the surface area of the cone below. Leave your answer in terms of π. Surface Area 21 cm of a Cone 9 cm SA=Trl + Tr² SA =?π cm² [ ] Enter​

Find the surface area of the cone below Leave your answer in terms of π Surface Area 21 cm of a Cone 9 cm SATrl Tr SA π cm Enter class=


Answer :

Viserion

Answer:

→ [270] π cm²

Step-by-step explanation:

Given :

  • Slant height l of cone = 21 cm

  • Radius of cone = 9 cm

We have to find :

  • Surface area of cone in terms of π

Solution :

We know that Surface Area of Cone = πrl + πr² which can be also written as :

[tex] \: \: \: \: \: \: \: \: \: {\boxed{ \sf{Surface Area_{(Cone)} =\pi r(r + l)}}}[/tex]

Where ,

  • π is mathematical constant

  • r refers to radius

  • l refers to slant height

According to question :

[tex] \sf{ \longmapsto \: \: \:\pi \times 9(9+ 21) }[/tex]

[tex] \sf{ \longmapsto \: \: \:9\pi (30) }[/tex]

[tex]\sf{ \longmapsto \: \: \: \underline{\boxed{\bold{270\pi \: cm {}^{2} }}}} \: \: \: \bigstar[/tex]

>>> Therefore, surface area of cone is "270π" cm².

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