A hemispherical hollow of the largest possible diameter is scooped out of one face of a solid wooden cube of edge 7 cm. Find the total surface area of the remaining solid, in cm². Take π = 22/7.

Question

Accepted Answer

332.5. Cube surface = 6 × 49 = 294 cm². Scooping removes a flat circle of radius 3.5 cm, area (22/7) × 12.25 = 38.5 cm², and exposes the curved hemispherical surface 2 × (22/7) × 12.25 = 77 cm². Total = 294 − 38.5 + 77 = 332.5 cm².

A hemispherical hollow of the largest possible diameter is scooped out of one face of a solid wooden cube of edge 7 cm. Find the total surface area of the remaining solid, in $cm^{2}$ . Take π = 22/7.

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More Areas & Volumes practice

A hemispherical hollow of the largest possible diameter is scooped out of one face of a solid wooden cube of edge 7 cm. Find the total surface area of the remaining solid, in cm2. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A hemispherical hollow of the largest possible diameter is scooped out of one face of a solid wooden cube of edge 7 cm. Find the total surface area of the remaining solid, in $cm^{2}$ . Take π = 22/7.