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20 December, 20:22

Find the slant height of a cone with surface area 381.77 ft2 and radius 6.2 ft.

12.4 ft

38.96 ft

19.48 ft

13.40 ft

Find the height of a square pyramid with volume 96 m3 and dimensions of base are 9 m by 9 m.

7.11 m

5.24 m

3.56 m

1.19 m

Find the height of a cone with volume 4034.66 cm3 and radius 13 cm.

45.6 cm

11.4 cm

22.8 cm

34.2 cm

Find the length of the radius of a sphere with a surface area of 5541.77 cm2.

21 cm

11.5 cm

42 cm

37 cm

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Answers (1)
  1. 20 December, 21:17
    0
    Find the slant height of a cone with surface area 381.77 ft² and radius 6.2 ft.

    O = pi·r^2 + pi·r·s - -> s = O / (pi·r) - r = 381.77 / (pi·6.2) - 6.2 = 13.40 ft

    Find the height of a square pyramid with volume 96 m³ and dimensions of base are 9 m by 9 m.

    V = 1/3·a^2·h - -> h = 3·V/a^2 = 3·96/9^2 = 32/9 = 3.556 m

    Find the height of a cone with volume 4034.66 cm³ and radius 13 cm.

    V = 1/3·pi·r^2·h - -> h = 3·V / (pi·r^2) = 3·4034.66 / (pi·13^2) = 22.80 cm

    Find the length of the radius of a sphere with a surface area of 5541.77 cm².

    O = 4·pi·r^2 - -> r = √ (O / (4·pi)) = √ (5541.77 / (4·pi)) = 21.00 cm
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