Question

find the height of a solid right circular cylinder whose total surface area is 2992 CM square and the radius of a cylinder is 14 cm

Answer 1

solution⤵️

Given,
TSA=2992cm^2
radius=14cm

To find: height

We know,
TSA(cylinder)=2πr(r+h)
=> 2992 =2×22/7×14(14+h)
=> 2992 =88(14+h)
=> 2992 =1232+88h
=> 88h =2992-1232
=> h =1760/88
=> h =20cm

therefore, height of the solid right circular cylinder is 20cm

Answer 2

Answer:

20cm

Step-by-step explanation:

$total \: surface \: area \: = 2\pi \\r h(h + r) \\ \\ 2992 = 2 \times \frac{22}{7} \times 14 \times h(h + 14) \\ 2992 = 2 \times 22 \times 2 \times h(h + 14) \\ 2992 = 88h(h + 14) \\ 2992 = 1232 + 88h \\ 88h = 2992 - 1232 \\ h = \frac{1760}{88} \\ height = 20cm$