Question

4. A right circular cylinder has total surface area of 112π sq units in the height of the cylinder
10 units, find the diameter of the base.​

Answer 1

Answer:

Question:-

A right circular cylinder has a total surface area of 112π sq units. The height of the cylinder is 10 units. Find the diameter of the base.

Solution:-

Total Surface Area = 112π sq units {Given}

Height = 10 units {Given}

To Find:- Diameter of Base

Formula for TSA of cylinder = 2πr(r + h)

$2\pi r(r + h) = 112\pi$

$r(r + h) = \frac{112\pi }{2\pi }$

$r(r + h) = 56$

$r(r + 10) = 56$

$r^{2} + 10r = 56$

${r}^2 + 10r - 56 = 0$

${r}^2 - 4r + 14r - 56 = 0$ [by factorisation]

$r(r - 4) + 14(r - 4) = 0 \\(r + 14)(r - 4) = 0 \\r - 4 = 0 \\r = 4$

Diameter = 2r

= 2(4)

= 8 units

Verify:-

$2\pi r(r + h) = 112\pi \\2\pi * 4(4 + 10) = 112\pi \\2\pi * 4(14) = 112\pi \\2\pi * 56 = 112\pi \\112\pi = 112\pi$

LHS = RHS

Hence, verified

Hope it helps

Please mark my answer as BRAINLIEST

Answer 2

Answer:

Above answer is correct . follow that answer . thankyou .