Question

a toy is in the form of a cone mounted on a hemisphere of common base diameter 7 . if the height of the toy is 15.5 cm, find the total surface area of the toy

Answer 1

⭐⭐⭐Hi mate your answer is...... ⭐⭐⭐
Diameter=7cm
then, radius=3.5 cm
Height of cone=15.5-3.5=12cm
Now, slant height of cone,
$l = \sqrt{(r {}^{2} } + h {}^{2} ) \\ = \sqrt{} (7 \div 2) {}^{2} + (12) { }^{2} \\ = 25 \div 2cm$
Now, total surface area of toy
=C.S.A.of hemisphere + C. S. A. of cone

$= (2\pi r {}^{2} + \pi \: r \: l) \\ = \pi \times r \times (2r + l) \\ = 22 \div 7 \times 7 \div 2 \times (7 + 25 \div 2) \\ = 214.5 \: cm {}^{2}$
Also, volume of the toy =
Volume of hemisphere + Volume of the cone
$= (2 \div 3\pi \: r {}^{3} + 1 \div 3\pi \: r {}^{2} h) \: cubic \: units \\ = (2 \div 3 \times 22 \div 7 \times (7 \div 2) {}^{3} + 1 \div 3 \times 22 \div 7 \times (7 \div 2) {}^{2} \times 12)cm {}^{3} \\ = 243.83 \: cm {}^{3}$
I hope it will help you.....!!!!!!!!!
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

Answer 2

Answer:

TSA of the toy = 214.5

Step-by-step explanation:

Hope this answer will help you.... Please mark the brainliest :) :)