Indian Navy SSR (Sailor) Surface Areas and Volumes — practice questions

Explore 2 free Surface Areas and Volumes questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Surface Areas and Volumes questions and exercises with answers

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Find equation of plane perpendicular to (1, 2, 3) passing through (4, 5, 6):Read the answer and worked solution →A bucket in the shape of a frustum has radii 22 cm and 12 cm and height 24 cm. The slant height isRead the answer and worked solution →

Worked practice questions

Find equation of plane perpendicular to (1, 2, 3) passing through (4, 5, 6):

x+2y+3z = 32 (= 4 + 10 + 18)
x = 4
x+2y+3z = 0
x+y+z = 15

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Correct answer: A. x+2y+3z = 32 (= 4 + 10 + 18)

Normal n = (1,2,3). **Plane:** n · (r - p) = 0 We have → 1(x-4) + 2(y-5) + 3(z-6) = 0 → x + 2y + 3z. So → 1(x-4) + 2(y-5) + 3(z-6) = 32.

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A bucket in the shape of a frustum has radii 22 cm and 12 cm and height 24 cm. The slant height is

30 cm
20 cm
26 cm
15 cm

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Correct answer: C. 26 cm

1. l squared = h squared + (R - r) squared = 576 + 100 = 676. 2. l = 26 cm. 3. Hence 26 cm. _Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.4_