Question

From a solid cylinder of height 2.8cm and diameter of 4.2cm a conical cavity of the same height and same diameter is hollowed out .Find tsa

Answer 1

TSA of remaining solid = CSA of cylinder + CSA of cone + area of base of cylinder

=>

$\pi {r}^{2} h \: + \pi \: r \: l \: + \: \pi {r}^{2}$

=>

$\pi \: r \: \times {r h \: + \: l \: + \: r}$

=>

$3.14 \times 2.4 \: \times \: 2.4 \times 2.8 + 3.6 + 2.4$

=>56.6

THEREFORE TSA OF REMAINING SOLID =

${56.6}cm^{2}$