Question

Find the curve surface area, volume and total surface area of a cylinder whose height is 15 cm and radius 6 cm​

Answer 1

Answer:

968 cm square

Step-by-step explanation:

Radius of cylinder (r)=7cm

Height of cylinder (h)=15cm

Curved Surface Area =2πrh

=2×(22/7)×7×15

=660cm

2

Total Surface Area =2πr(h+r)

=2×(22/7)×7(15+7)

=2×22×22

=968cm

2

Answer 2

Answer

$\purple{\bigstar}$ Curved surface area of the cylinder $\leadsto$ $\boxed{\sf{\red{565.71~cm^2}}}$

$\purple{\bigstar}$ Volume of the cylinder $\leadsto$$\boxed{\sf{\red{1697.14~cm^3}}}$

$\purple{\bigstar}$ Total surface area of the cylinder $\leadsto$ $\boxed{\sf{\red{792~cm^2}}}$

• Given

• Height of a cylinder = 15 cm
• Radius of a cylinder = 6 cm

• To find

• Curved surface area of the cylinder
• Volume of the cylinder
• Total surface area of the cylinder

• Solution

$\purple{\bigstar}$ $\boxed{\underline{\sf{Curved~surface~of~cylinder = 2 \pi rh}}}$

Substitute the given values,

⟶ 2 × 22/7 × 6 × 15

⟶ 565.71 cm²

• Curved surface area of the cylinder = 565.71 cm²

$\purple{\bigstar}$ $\boxed{\underline{\sf{Volume~of~cylinder =\pi r^2 h}}}$

Substitute the given values,

⟶ 22/7 × 6 × 6 × 15

⟶ 1697.14 cm³

• Volume of the cylinder = 1697.14 cm³

$\purple{\bigstar}$ $\boxed{\underline{\sf{Total~surface~area~of~cylinder = 2 \pi r(r + h)}}}$

Substitute the given values,

⟶ 2 × 22/7 × 6(6 + 15)

⟶ 264/7(6 + 15)

⟶ 264/7 (21)

⟶ 5544/7

⟶ 792 cm²

• Total surface area of the cylinder = 792 cm²