Question

the total b surface area of a cylinder is 3080cm square the diameter of its base is 28cm find its height​

Answer 1

Answer:

tsa =2pi r (r+h)

3080=2×22/7×14(14+h)

3080=88(14+h)

3080/88 = 14+h

35=14+h

35-14=h

21=h

Answer 2

$\bold{Given : }$

• Total surface area of a cylinder = 3080 cm²

• Diameter of its base = 28 cm

$\bold{To \: find \: out : }$

Find the height of given cylinder?

$\bold{Formula \: used : }$

Total surface area of cylinder = 2πr ( h + r )

$\bold{Solution : }$

We have,

★ Total surface area = 3080 cm²

★ Radius = d/2 = 28/2 = 14 cm

We know that,

Total surface area of cylinder = 2πr ( h + r )

$\rightarrow \: 3080 = 2 \times \frac{22}{7} \times 14(h + 14)$

$\rightarrow3080 = 44 \times 2h + 28$

$\rightarrow 2h + 28 = \frac{3080}{44}$

$\rightarrow 2h + 28 = 70$

$\rightarrow2h = 70 - 28$

$\rightarrow2h = 42$

$\rightarrow \: h = \cancel \frac{42}{2}$

h = 21 cm

Hence, the height of given cylinder is 21 cm.