Class 8 Mensuration CBSE Questions & Answers

Class 8 · Mensuration

This is Mathematics Class 8 Mensuration CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The base of a cone has a radius of 4 cm. The height of the cone is 6 cm. Find the volume of the cone.
  • A
    \({\text{64}}\pi {\text{ c}}{{\text{m}}^{\text{3}}}\)
  • B
    None of these
  • C
    \({\text{32}}\pi {\text{ c}}{{\text{m}}^{\text{3}}}\)
    Correct
  • D
    \({\text{16}}\pi {\text{ c}}{{\text{m}}^{\text{3}}}\)
2
A cone has a volume of 1650 \({\text{c}}{{\text{m}}^{\text{3}}}\). The cone has a height of 28 cm. Find the radius of the cone.
  • A
    15 cm
  • B
    None of these
  • C
    7.5 cm
    Correct
  • D
    3.5 cm
3
A cylinder is made from metal. It has a base but no lid. The height of the cylinder is 8 cm. The radius of the cylinder is 3 cm. Find the amount of metal required to make the cylinder.
  • A
    37 \(\pi {\text{ c}}{{\text{m}}^{\text{2}}}\)
  • B
    None of these
  • C
    47 \(\pi {\text{ c}}{{\text{m}}^{\text{2}}}\)
  • D
    57 \(\pi {\text{ c}}{{\text{m}}^{\text{2}}}\)
    Correct
4
What is the base radius of the cylinder, if a 44 in. long and 20 in. broad rectangular tin sheet is rolled along its length to form the cylinder by making the opposite edges just touch each other?
  • A
    14 in.
  • B
    7 in.
    Correct
  • C
    None of these
  • D
    11 in.
5
The base area of a cylindrical wooden block is 254.34 cm2 and its height is 13 cm. What is its surface area?
  • A
    1261.29 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • B
    1243.44 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • C
    1251.29 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    None of these
6
If the radius of the base of a right circular cone is 9r mm. and its height is equal to the radius of the base, find its volume in \({\text{mm}}{.^{\text{3}}}\).
  • A
    None of these
  • B
    252 \(\pi {{\text{r}}^{\text{3}}}\)
  • C
    248 \(\pi {{\text{r}}^{\text{3}}}\)
  • D
    243 \(\pi {{\text{r}}^{\text{3}}}\)
    Correct
7
The circumference of the base of a cone of height 9 in. is 44 in. Find the volume of the cone.
  • A
    None of these
  • B
    462 \({\text{in}}{.^{\text{3}}}\)
    Correct
  • C
    457 \({\text{in}}{.^{\text{3}}}\)
  • D
    452 \({\text{in}}{.^{\text{3}}}\)
8
What is the volume of a cone, if its radius is 9 cm and its curved surface area is 423.9 \({\text{c}}{{\text{m}}^{\text{2}}}\)?
  • A
    None of these
  • B
    3815 \({\text{c}}{{\text{m}}^{\text{3}}}\)
  • C
    1017 \({\text{c}}{{\text{m}}^{\text{3}}}\)
    Correct
  • D
    1272 \({\text{c}}{{\text{m}}^{\text{3}}}\)
9
The height of a right circular cone is 9 cm. If its volume is \({\text{432}}\pi {\text{ cm}}{.^{\text{3}}}\), what is the slant height of the cone?
  • A
    10 cm
  • B
    None of these
  • C
    15 cm
    Correct
  • D
    12 cm
10
A tent is in the shape of a cylinder with a conical top. The radius of the base of the tent is 8 m. The height of the cylindrical part is 15 m. and that of the conical part is 24 m. Find the volume of air that occupies the tent.
  • A
    4622.1 \({{\text{m}}^{\text{3}}}\)
    Correct
  • B
    4632.1 \({{\text{m}}^{\text{3}}}\)
  • C
    4627.1 \({{\text{m}}^{\text{3}}}\)
  • D
    None of these
11
A tent is in the shape of a cylinder with a conical top. The radius of the base of the tent is 9 m. The height of the cylindrical part is 16 m. and that of the conical part is 25 m. Find the volume of air that occupies the tent.
  • A
    6188.9 \({{\text{m}}^{\text{3}}}\)
    Correct
  • B
    6193.9 \({{\text{m}}^{\text{3}}}\)
  • C
    6203.9 \({{\text{m}}^{\text{3}}}\)
  • D
    None of these
12
Find the volume of a cone, if the diameter of the cone is 12.4 cm. and the height of the cone is 30 cm.
  • A
    1212.4 \({\text{c}}{{\text{m}}^{\text{3}}}\)
  • B
    None of these
  • C
    1207.4 \({\text{c}}{{\text{m}}^{\text{3}}}\)
    Correct
  • D
    1209.4 \({\text{c}}{{\text{m}}^{\text{3}}}\)
13
The curved surface area of a cone is 3815.10 \({\text{mm}}{.^{\text{2}}}\) and the radius of the base of the cone is 27 mm. What is its height?
  • A
    36 mm
    Correct
  • B
    None of these
  • C
    38 mm
  • D
    34 mm
14
What length of canvas, 4 m. in width is required to make a conical tent 14 m. in diameter and 6.3 m. slant height?
  • A
    40.62 m
  • B
    None of these
  • C
    38.62 m
  • D
    34.62 m
    Correct
15
The circumference of the base of a conical tent is 31.4 m. and its slant height is 9 m. Find the area of the canvas used in making the tent.
  • A
    None of these
  • B
    138.3 \({{\text{m}}^{\text{2}}}\)
  • C
    141.3 \({{\text{m}}^{\text{2}}}\)
    Correct
  • D
    144.3 \({{\text{m}}^{\text{2}}}\)