Question

Find the volume and
surface area of the cone with base radius 2.3cm and height 46cm​

Answer 1

• Surface area of cone is 365.765 cm².
• Volume of cone is 81.1133 cm³.

Step-by-step explanation:

Given:-

• Base radius of cone is 2.3 cm.
• Height of cone is 46 cm.

To find:-

• Volume of cone.
• Surface area of cone.

Solution:-

Surface area of cone = πrl + πr²

In which,

• l is slant height of cone.
• r is radius of cone.

l = √r² + h²

l = r + h

l = 2.3 + 46

l = 48.3 cm

r = 2.3 cm

Put l and r in formula:

➜ 22/7 × 2.3 × 48.3 + 22/7 × 2.3 × 2.3

➜ 2443.98/7 + 22/7 × 5.29

➜ 2443.98/7 + 116.38/7

➜ 2560.36/7

➜ 365.765

Therefore,

Surface area of cone is 365.765 cm².

__________________________

Volume of cone = 1/3r²h

r = 2.3 cm

h = 46 cm

Put the values of r and h in formula:

➜ 1/3 × 2.3 × 2.3 × 46

➜ 243.34/3

➜ 81.113

Volume of cone is 81.1133 cm³.