Question

if you can solve pls write how to​

Answer 1

Step-by-step explanation:

Given -

Slant height of cone = 5 cm

Total length of the figure = 16 cm

Diameter = 6 cm

To Find -

• surface area
• volume

• Radius = Diameter/2

» 6/2

• » 3 cm

Now,

Surface area of the cone is πrl + πr²

here,

r = radius of the cone

l = slant height of the cone

» π(3)(5) + π(3)²

» 15π + 9π

• » 24π

And

Volume of the cone is 1/3πr²h

here,

r = radius of the cone

h = slant height of the cone

» 1/3π(3)²×5

» 1/3π9×5

» 3π × 5

• » 15π

Now,

Surface area of the cylinder is 2πr² + 2πrh

here,

r = radius of the cylinder

h = height of the cylinder

» 2π(3)² + 2π(3)(8)

» 18π + 48π

• » 66π

And

Volume of the cylinder is πr²h

here,

r = radius of the cylinder

h = height of the cylinder

» π(3)²(8)

• » 72π

Now,

Now, Surface area of the hemisphere is 2πr²

here,

r = radius of hemisphere

» 2π(3)²

• » 18π

And

Volume of hemisphere is 2πr³/3

here,

r = radius of hemisphere

» 2π(3)³/3

• » 18π

Now,

Surface area of the given figure =

• Surface area of cone + surface area of cylinder + surface area of hemisphere

» 24π + 66π + 18π

» 108π

substituting π = 3.14 , we get :-

» 108 × 3.14

• » 339.12 cm²

And

Volume of the given figure =

• Volume of cone + Volume of cylinder + volume of hemisphere

» 15π + 72π + 18π

» 105π

substituting π = 3.14 , we get :-

» 105 × 3.14

• » 329.7 cm³