Question

If the total surface area of ​​a cylinder is 440 square cm and the radius is 7 cm, what is its height?

1.7 cm
2.3 cm
3. 10 cm
4. 440/7 cm​

Answer 1

Answer:

height=3 cm

hope it helps you.

Thanks.

Answer 2

$\huge{\underline{\mathtt{\pink{Ꭺ}\blue{ղ}\green{Տ}\red{ω}\purple{Ꭼ}\gray{я᭄}}}}$

$\star\;\underline{\boxed{\sf{\orange{h = 3.009cm \approx \: 3cm}}}}$

Question:-

If the total surface area of a cylinder is 440 square cm and the radius is 7 cm, what is its height?

1) 7 cm

2) 3cm

3) 10cm

4.440/7 cm

Given:

$\star\;\underline{\boxed{\sf{\orange{Total\ surface\ Area\ of\ the\ cylinder =\ \bf 440^2\ cm}}}}$

$\star\;\underline{\boxed{\sf{\orange{Radius\ of\ the\ cylinder =\ \bf 7\ cm}}}}$

To Find:-

$• \: \sf{\green{Height\ of\ the\ cylinder}}$

Solution:-

$\star\ \: \underline{\boxed{\sf{\purple{Total\ surface\ Area\ of\ the\ cylinder =\ \bf 2πr(h+r)\ cm^2}}}}$

$\bf{ \purple{ 2 \times 3.14 \times 7(h + 7) = 440}}$

$\bf{ \purple{6.28 \times 7h + 49 = 440}}$

$\bf{ \purple{7h + 49 = \cfrac{440}{6.28}}}$

$\bf {\purple{7h + 49 \: = 70.063}}$

$\bf \purple{7h \: = 21.063}$

$\star\;\underline{\boxed{\sf{\pink{h = 3.009cm \approx \: 3cm}}}}$