Question

Length of a cube shaped solid wooden piece is 14 cm.
From its top face some amount of wood is curved out in
the shape of a hemisphere with radius 7cm. Find the total
surface area and volume of corresponding shape.​ PLEASE TELL

Answer 1

Step-by-step explanation:

hope this is the right answer

Answer 2

The surface area and volume of corresponding shape are 1287.87 cm^2 and 2025.62 cm^3 respectively.

• Length of a cube shaped solid wooden piece is 14 cm

Let L=14 cm

• When some amount of wood is curved out in the shape of a hemisphere from its top face with radius 7cm

Let R=7cm

Hence L=2R

• Let volume of hemisphere be Vh, volume of cube be Vc and volume of corresponding shape be V

• Vc=(L)^3 = (14)^3=2744 cm^3

Vh=[2π(R)^3]/3 = [2π(7)^3]/3= 718.377 cm^3

Therefore

V = Vc - Vh

= 2744 - 718.377

V = 2025.62 cm^3

• Let surface area of of hemisphere be Sh, sum of five sides of cube be Sc and final surface area be S

• Sh=2π(R)^2=2π(7)^2= 307.876 cm^2

Sc=5(L)^2=5(14)^2=980 cm^2

S= Sh+SC

= 307.876+980

S= 1287.87 cm^2