Question

A right triangle ABC with side 5cm 12 cm and 13 cm is revealed about the side 12 cm find the volume of solid to obtain​

Answer 1

Diagram :

$\setlength{\unitlength}{0.99cm}\begin{picture}(6, 4)\linethickness{0.26mm}\qbezier(5.8,2.0)(5.8,2.3728)(4.9799,2.6364)\qbezier(4.9799,2.6364)(4.1598,2.9)(3.0,2.9)\qbezier(3.0,2.9)(1.8402,2.9)(1.0201,2.6364)\qbezier(1.0201,2.6364)(0.2,2.3728)(0.2,2.0)\qbezier(0.2,2.0)(0.2,1.6272)(1.0201,1.3636)\qbezier(1.0201,1.3636)(1.8402,1.1)(3.0,1.1)\qbezier(3.0,1.1)(4.1598,1.1)(4.9799,1.3636)\qbezier(4.9799,1.3636)(5.8,1.6272)(5.8,2.0)\put(0.2,2){\line(1,0){2.8}}\put(3.05,4){\sf{h = 10cm}}\put(3,2){\line(0,2){4.5}}\put(1.5,1.7){\sf{r = 5cm}}\qbezier(.2,2.05)(.7,3)(3,6.5)\qbezier(5.8,2.05)(5.3,3)(3,6.5)\put(0,4){\sf{l = 13cm}}\put(3,2.02){\circle*{0.15}}\put(2.7,2){\dashbox{0.01}(.3,.3)}\end{picture}$

Given Parameters :

• Radius (r) = 5 cm
• Slant Height (l) = 13 cm
• Height (h) = 12 cm

Unknown :

• Volume of solid = ?

Answer:

→ Volume = ⅓ πrh²h

→ Volume = ⅓ π × 5 × 5 × 12

→ Volume = π × 25 × 3

→ Volume = 100 π cm³