Answer:
The approximate surface area of the snowman's head is 125.33 sq.cm.
Step-by-step explanation:
Formula of surface area =[tex]4 \pi r^2[/tex]
We are given that The surface area of the base of the snowman is 1800 square centimetres
So,[tex]4 \pi r^2 =1800[/tex]
[tex]4 \times \frac{22}{7} \times r^2 = 1800 \\r^2 = \frac{1800 \times 7}{22 \times 4}\\r=\sqrt{\frac{1800 \times 7}{22 \times 4}}\\r=11.96[/tex]
The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman
So, Radius of head = [tex]\frac{2}{3} \times 11.96 =7.97[/tex]
Surface area of snowman's head=[tex]4 \times \frac{22}{7} \times 9.97=125.33 cm^2[/tex]
Hence the approximate surface area of the snowman's head is 125.33 sq.cm.
