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Geometry · Solids

Cone radius 3 height 4

Step by step

  1. r = 3,\ h = 4,\ \ell = \sqrt{r^2+h^2} = 5

    Cone\; ℓ is the slant height.

  2. V = \tfrac{1}{3}\pi r^2 h = 12 \pi \approx 37.699

    Volume: a third of the cylinder around it.

  3. S = \pi r^2 + \pi r \ell = 24 \pi \approx 75.398

    Surface area = base + lateral.

Reveal the answer
V = 12 \pi \approx 37.699,\quad S = 24 \pi