Question

The ratio of corresponding sides of similar triangles is 2 : 3; then find the ratio

of their areas.​

Answer 1

Answer:

Given :

\begin{gathered}\bullet\:\:\textsf{Height of the cone = \textbf{16 cm}}\\\bullet\:\:\textsf{Radius of the cone = \textbf{12 cm}}\end{gathered}

∙Height of the cone = 16 cm

∙Radius of the cone = 12 cm

$$\rule{130}1$$

Solution :

let slant height of the cone be l.

➩ l² = h² + r²

➩ l² = 16² + 12²

➩ l² = 256 + 144

➩ l² = 400

➩ l = √400

➩ l = 20 cm

$$\rule{170}2$$

☯ $$\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$$

→ CSA of cone = πrl

→ CSA of cone = 3.14 × 12 × 20

→ CSA of cone = 753.6 cm²

$$\rule{130}1$$

→ TSA of cone = πr (l + r)

→ TSA of cone = 3.14 × 12 (20 + 12)

→ TSA of cone = 3.14 × 12 (32)

→ TSA of cone = 1205.76 cm²

★ Therefore,

CSA of cone is 753.6 cm².

TSA of cone is 1205.76 cm².