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  • Geometry
  • Quadrilaterals
  • Cone

Cone

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  • Question 1:
    1 pts
    		The net of a cone consists of the following two parts: a circle that gives the base and a sector that gives the curved surface.
  • Question 2:
    1 pts
    		We can see on this picture the cone and its net.
  • Question 3:
    1 pts
    		Find the volume of the cone shown on the picture?
    V=27πcm3V=27\pi cm^{3}
    V=36πcm3V=36\pi cm^{3}
    V=63πcm3V=63\pi cm^{3}
  • Question 4:
    1 pts
    		Find the surface area of the cone shown on the picture.
    Area ==
  • Question 5:
    2 pts
    		Find the volume of the cone shown on the picture?
    V=1204πcm3V=1204\pi cm^{3}
    V=1024πcm3V=1024\pi cm^{3}
    V=968πcm3V=968\pi cm^{3}
    V=1032πcm3V=1032\pi cm^{3}
  • Question 6:
    2 pts
    		What is formula of finding volume of frustum of a cone?
    V=πH3(R2+Rr+r2)V=\dfrac{\pi H}{3}\left(R^{2}+Rr+r^{2}\right)
    V=π3(R2+Rr+r2)V=\dfrac{\pi}{3}\left(R^{2}+Rr+r^{2}\right)
    V=πH3(R2+Rr+r2)V=\dfrac{\pi H}{3}\left(R^{2}+\sqrt{Rr}+r^{2}\right)
    V=πH3(R2+R2r2+r2)V=\dfrac{\pi H}{3}\left(R^{2}+R^{2}r^{2}+r^{2}\right)
  • Question 7:
    1 pts
    		The lateral surface area of a cone base with radius rr and height HH is πrr2+H2.\pi r \sqrt{r^{2}+H^{2}}.
  • Question 8:
    3 pts
    		The total surface area of a cone is 24πcm224\pi cm ^{2}, and the area of its base is 9πcm3.9\pi cm ^{3}. Find the volume of that cone.

    V=24πcm3V=24\pi cm^{3}

    V=36πcm3V=36\pi cm^{3}

    V=12πcm3V=12\pi cm^{3}

    V=72πcm3V=72\pi cm^{3}

  • Question 9:
    3 pts
    		The volume of the frustum is 584πcm3584\pi cm^{3}, and the radii of its circular ends are 10cm10 cm and 7cm.7 cm. Find the height of that frustum.

    8cm8cm

    10cm10cm

    12cm12cm

    16cm16cm

  • Question 10:
    3 pts
    		A right circular cone is the cone in which the altitude or height is exactly perpendicular to the Radius or the circle. Whereas a cone is a 3D figure with one surface curved and a base surface as a circle. A cone may be right circular or may not.
  • Question 11:
    3 pts
    		Find the ratio of volumes of right circular cone and square pyramid shown on the picture?
    V_{c}:V_{p}=$
  • Question 12:
    3 pts
    		Find the volume of the solid shown on the picture.
    V=210πcm3V=210\pi cm^{3}
    V=180πcm3V=180\pi cm^{3}
    V=150πcm3V=150\pi cm^{3}

Prism

Pyramid

Rotating solids