Question

find the CSA, TSA & volume of a cone with base diemeter 14cm & height 24cm


plzz answer it correctly ​

Answer 1

★ Given ★

Diameter =14cm

Height = 24 cm

★ To find out ★

• CSAᶜʸˡᶤᶰᵈᵉʳ
• TSAᶜʸˡᶤᶰᵈᵉʳ
• Volumeᶜʸˡᶤᶰᵈᵉʳ

★ Formula used ★

• CSA ᶜʸˡᶤᶰᵈᵉʳ= 2 πrh
• TSA ᶜʸˡᶤᶰᵈᵉʳ= 2πr (h+r)
• Volume ᶜʸˡᶤᶰᵈᵉʳ = 2πr²h

★ Solution ★

Diameter = 14cm

⇒Radius = 14/2 = 7cm

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Thus,

➠CSAᶜʸˡᶤᶰᵈᵉʳ= 2πrh

➠CSAᶜʸˡᶤᶰᵈᵉʳ= 2×22/7×7×14

➠CSAᶜʸˡᶤᶰᵈᵉʳ= 44×14

➠CSAᶜʸˡᶤᶰᵈᵉʳ= 616cm²

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Now,

➠ TSAᶜʸˡᶤᶰᵈᵉʳ= 2πr(h+r)

➠TSAᶜʸˡᶤᶰᵈᵉʳ= 2×22/7×7×(14+7)

➠TSAᶜʸˡᶤᶰᵈᵉʳ= 44×21

➠TSAᶜʸˡᶤᶰᵈᵉʳ= 924cm²

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➠Volumeᶜʸˡᶤᶰᵈᵉʳ= 2πr²h

➠Volumeᶜʸˡᶤᶰᵈᵉʳ= 2×22/7×7×7×14

➠Volumeᶜʸˡᶤᶰᵈᵉʳ=44×7×14

➠Volumeᶜʸˡᶤᶰᵈᵉʳ= 4312cm³

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